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Preprint ARTICLE | doi:10.20944/preprints202004.0140.v1

A Mathematical Model of COVID-19 Using Fractional Derivative: Outbreak in India with Dynamics of Transmission and Control

Amjad S. Shaikh, Iqbal N. Shaikh, Kottakkaran Sooppy Nisar

Subject: Computer Science And Mathematics, Analysis Keywords: mathematical models; coronavirus; caputo-fabrizio derivative; basic reproduction number; existence and stability; numerical simulations

Online: 9 April 2020 (08:12:53 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201611.0145.v1

Some Properties of the Hermite Polynomials and Their Squares and Generating Functions

Feng Qi, Bai-Ni Guo

Subject: Computer Science And Mathematics, Analysis Keywords: Hermite polynomial; square; generating function; higher order derivative; differential equation; derivative polynomial; explicit formula; recurrence relation

Online: 29 November 2016 (06:50:11 CET)

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Preprint ARTICLE | doi:10.20944/preprints202109.0371.v1

Qualitative Data Collection under the ‘New Normal’ in Zimbabwe

Emmanuel Ndhlovu

Subject: Computer Science And Mathematics, Analysis Keywords: COVID-19; digital data collection; qualitative; Zimbabwe

Online: 22 September 2021 (10:20:11 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201905.0098.v2

Open Up: A Survey on Open and Non-anonymized Peer Reviewing

Lonni Besançon, Niklas Rönnberg, Jonas Löwgren, Jonathan Tennant, Matthew Cooper

Subject: Computer Science And Mathematics, Analysis Keywords: open review; open science; zero-blind review; peer review; methodology

Online: 16 August 2019 (05:27:55 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201610.0020.v1

Some Integral Transforms of the Generalized k-Mittag-Leffler Function

Feng Qi, Kottakkaran Sooppy Nisar

Subject: Computer Science And Mathematics, Analysis Keywords: integral transform; generalized k-Mittag-Leer function; generalized Wright function; generalized k-Wright function; gamma function

Online: 8 October 2016 (10:41:37 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201610.0055.v1

Numerical Simulation of Hypervelocity Impact FEM-SPH Algorithm Based on Large Deformation of Material

Aimin Yang, Jinze Li, Hengheng Qu, Yuhang Pan, Yanhong Kang, Yuzhu Zhang

Subject: Computer Science And Mathematics, Analysis Keywords: finite element method; smoothed particle method; fem-sph algorithm; large deformation; super high speed collision

Online: 14 October 2016 (11:05:45 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201610.0089.v1

An Improper Integral with a Square Root

Feng Qi

Subject: Computer Science And Mathematics, Analysis Keywords: improper integral; explicit expression; unified expression; beta function; Wallis ratio; integral representation; Catalan number

Online: 21 October 2016 (08:29:08 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201611.0146.v1

Some Properties of a Solution to a Family of Inhomogeneous Linear Ordinary Differential Equations

Feng Qi, Bai-Ni Guo

Subject: Computer Science And Mathematics, Analysis Keywords: explicit form; inhomogeneous linear ordinary differential equation; derivative; Lerch transcendent; absolute monotonicity; complete monotonicity; Bernstein function; inequality; diagonal recurrence relation; Stirling numbers of the first kind; logarithmic function

Online: 29 November 2016 (08:00:53 CET)

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Preprint ARTICLE | doi:10.20944/preprints201607.0030.v1

Modeling Categorical Random Fields via Linear Bayesian Updating

Xiang Huang, Zhizhong Wang

Subject: Computer Science And Mathematics, Analysis Keywords: Bayesian updating; expert opinion; spatial classification; transition probability

Online: 14 July 2016 (11:54:21 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201612.0102.v1

Some Quantum Estimates of Hermite-Hadamard Inequalities for Convex Functions

Wenjun Liu, Hefeng Zhuang

Subject: Computer Science And Mathematics, Analysis Keywords: convex functions; Hermite-Hadamard inequality; quantum estimate

Online: 19 December 2016 (11:25:19 CET)

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Preprint ARTICLE | doi:10.20944/preprints201703.0119.v1

Lévy–Khintchine Representation of Toader–Qi Mean

Feng Qi, Bai-Ni Guo

Subject: Computer Science And Mathematics, Analysis Keywords: Lévy–Khintchine representation; integral representation; Bernstein function; Stieltjes function; Toader–Qi mean; weighted geometric mean; Bessel function of the first kind; probabilistic interpretation; probabilistic interpretation; application in engineering; inequality

Online: 16 March 2017 (11:31:31 CET)

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Preprint ARTICLE | doi:10.20944/preprints201701.0055.v1

Convexity Properties and Inequalities Concerning the (p,k)-Gamma function

Kwara Nantomah

Subject: Computer Science And Mathematics, Analysis Keywords: (p,k)-Gamma function; convex functions; Bohr-Mollerup theorem; (p,k)-Riemann zeta function; inequality

Online: 11 January 2017 (07:35:30 CET)

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Preprint ARTICLE | doi:10.20944/preprints201704.0026.v1

Notes on a Family of Inhomogeneous Linear Ordinary Differential Equations

Feng Qi, Jing-Lin Wang, Bai-Ni Guo

Subject: Computer Science And Mathematics, Analysis Keywords: simple form; explicit form; differential equation; Lerch transcendent; logarithmic function

Online: 4 April 2017 (16:53:18 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201609.0076.v1

Evaluation of Cloud Services: A Fuzzy Multicriteria Group Decision Making Method

Santoso Wibowo, Hepu Deng, Wei Xu

Subject: Computer Science And Mathematics, Analysis Keywords: performance evaluation; cloud services; group decision making; multicriteria decision making; fuzzy sets

Online: 22 September 2016 (10:45:55 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201608.0027.v1

(T,N) and Residual Fuzzy Co-Implication in Dual Heyting Algebra with Applications

Iqbal H. Jebril

Subject: Computer Science And Mathematics, Analysis Keywords: Fuzzy implications; (S,N) implication; residuum t-norm; (T,N) co-implication; residual co-implication

Online: 3 August 2016 (08:29:47 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201611.0117.v1

Certain Inequalities for the Conformable Gamma and Polygamma Functions

Kwara Nantomah

Subject: Computer Science And Mathematics, Analysis Keywords: Gamma function; conformable Gamma function; inequality

Online: 23 November 2016 (09:59:05 CET)

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Preprint SHORT NOTE | doi:10.20944/preprints201703.0055.v1

A Closed Form for the Stirling Polynomials in Terms of the Stirling Numbers

Feng Qi, Bai-Ni Guo

Subject: Computer Science And Mathematics, Analysis Keywords: closed form; Stirling polynomial; Stirling number; Bernoulli number; Faá di Bruno's formula; Bell polynomial

Online: 10 March 2017 (10:28:19 CET)

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Preprint ARTICLE | doi:10.20944/preprints201609.0011.v1

Amenability Modulo an Ideal of Second Duals of Semigroup Algebras

Hamidreza Rahimi, Khalil Nabizadeh

Subject: Computer Science And Mathematics, Analysis Keywords: amenability modulo an ideal; semigroup algebra; group congruence

Online: 5 September 2016 (09:58:58 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201612.0003.v1

Some Inequalities Bounding Certain Ratios of the (p,k)-Gamma Function

Kwara Nantomah

Subject: Computer Science And Mathematics, Analysis Keywords: gamma function; polygamma function; (p,k)-analogue; inequality

Online: 1 December 2016 (10:10:13 CET)

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Preprint ARTICLE | doi:10.20944/preprints201703.0029.v1

Several Series Identities Involving the Catalan Numbers

Li Yin, Feng Qi

Subject: Computer Science And Mathematics, Analysis Keywords: series identity; Catalan number; Catalan function; Riemanian zeta function; alternative Hurwitz zeta function; digamma function

Online: 6 March 2017 (07:01:20 CET)

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Preprint ARTICLE | doi:10.20944/preprints201703.0192.v1

Simplifying Two Families of Nonlinear Ordinary Differential Equations

Feng Qi, Jing-Lin Wang, Bai-Ni Guo

Subject: Computer Science And Mathematics, Analysis Keywords: nonlinear ordinary differential equation; Stirling number of the first kind; simplifying; technique; combinatorial analysis

Online: 24 March 2017 (18:30:21 CET)

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Preprint ARTICLE | doi:10.20944/preprints201702.0038.v2

Global Existence and Exponential Decay for a Dynamic Contact Problem of Thermoelastic Timoshenko Beam with Second Sound

Wenjun Liu, Dongqin Chen, Biqing Zhu

Subject: Computer Science And Mathematics, Analysis Keywords: thermoelastic Timoshenko beam; global existence; exponential stability; second sound

Online: 20 February 2017 (06:36:23 CET)

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Preprint ARTICLE | doi:10.20944/preprints201705.0039.v1

Integral Representations for Bivariate Complex Geometric Mean and Applications

Feng Qi, Dongkyu Lim

Subject: Computer Science And Mathematics, Analysis Keywords: Lévy--Khintchine representation; integral representation; bivariate mean; bivariate complex geometric mean; reciprocal; Heronian mean; application

Online: 4 May 2017 (08:44:25 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201608.0095.v1

Generalized Contrcations on Dualistic Partial Metric Spaces

Muhammad Nazam, Muhammad Arshad, Aftab Hussain

Subject: Computer Science And Mathematics, Analysis Keywords: fixed point; dualistic partial metric; generalized contraction

Online: 9 August 2016 (11:28:16 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201703.0067.v1

Global Existence, Exponential Decay and Finite Time Blow-up of Solutions for a Class of Semilinear Pseudo-parabolic Equations with Conical Degeneration

Gang Li, Jiangyong Yu, Wenjun Liu

Subject: Computer Science And Mathematics, Analysis Keywords: blow-up; semilinear pseudo-parabolic equations; critical initial energy; conical degeneration

Online: 13 March 2017 (09:56:13 CET)

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Preprint ARTICLE | doi:10.20944/preprints201704.0040.v1

Integral Representations of Catalan Numbers and Their Applications

Feng Qi, Bai-Ni Guo

Subject: Computer Science And Mathematics, Analysis Keywords: Catalan number; integral representation; equivalent relation; application; sum of power series; Catalan--Qi function; Catalan--Qi number; beta function

Online: 7 April 2017 (04:27:13 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201708.0044.v1

Some Identities for a Sequence of Unnamed Polynomials Connected with the Bell Polynomials

Feng Qi, Da-Wei Niu, Bai-Ni Guo

Subject: Computer Science And Mathematics, Analysis Keywords: identity; Bell polynomial; unnamed polynomial; explicit formula; inversion theorem; Stirling number; binomial coeﬃcient

Online: 11 August 2017 (13:51:05 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201905.0098.v1

Open Up: A Survey on Open and Non-anonymized Peer Reviewing

Lonni Besançon, Niklas Rönnberg, Jonas Löwgren, Jonathan P. Tennant, Matthew Cooper

Subject: Computer Science And Mathematics, Analysis Keywords: Open Review; Open Science; Zero-Blind Review; Peer Review; Methodology

Online: 8 May 2019 (11:46:36 CEST)

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Preprint REVIEW | doi:10.20944/preprints201904.0027.v2

The Pipeline of Processing fMRI Data with Python Based on the Ecosystem NeuroDebian

Qiang Li, Rong Xue

Subject: Computer Science And Mathematics, Analysis Keywords: neuroscience; big data; functional Magnetic Resonance (fMRI); pipeline; one platform system

Online: 8 April 2019 (05:46:55 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201702.0057.v2

Global Existence, Asymptotic Behavior and Blow-up of Solutions for a Suspension Bridge Equation with Nonlinear Damping and Source Terms

Wenjun Liu, Hefeng Zhuang

Subject: Computer Science And Mathematics, Analysis Keywords: suspension bridges; fourth order wave equation; nonlinear damping; source term; existence; blow up

Online: 24 February 2017 (09:06:57 CET)

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Preprint ARTICLE | doi:10.20944/preprints201702.0079.v1

On Energy Optimization in Cryptographic Hash Functions and Symmetric Key Protocols

Swapnoneel Roy, Priyanka Harish, Raghu Talluri

Subject: Computer Science And Mathematics, Analysis Keywords: secured hashes; symmetric key encryption; energy optimization

Online: 21 February 2017 (10:28:30 CET)

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Preprint ARTICLE | doi:10.20944/preprints201708.0017.v1

Simplification of Coefficients in Differential Equations Associated with Higher Order Frobenius–Euler Numbers

Feng Qi, Da-Wei Niu, Bai-Ni Guo

Subject: Computer Science And Mathematics, Analysis Keywords: simplification; coefficient; ordinary differential equation; higher order Frobenius–Euler number; Fa`a di Bruno formula; Bell polynomial of the second kind; inversion formula

Online: 4 August 2017 (15:47:44 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201708.0026.v1

Simplifying Coefficients in Differential Equations Associated with Higher Order Bernoulli Numbers of the Second Kind

Feng Qi, Da-Wei Niu, Bai-Ni Guo

Subject: Computer Science And Mathematics, Analysis Keywords: simplification; coefficient; ordinary differential equation; higher order Bernoulli number of the second kind; Stirling number of the first kind; Stirling number of the second kind; inversion formula; Bell polynomial of the second kind; Faà di Bruno formula.

Online: 8 August 2017 (07:59:57 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201705.0175.v1

On the Duality of Regular and Local Functions

Jens V. Fischer

Subject: Computer Science And Mathematics, Analysis Keywords: generalized functions; tempered distributions; regular functions; local functions; regularization-localization duality; regularity; Heisenberg’s uncertainty principle

Online: 24 May 2017 (08:34:46 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201801.0191.v1

Global Existence, Exponential Decay and Blow-Up of Solutions for a Class of Fractional Pseudo-Parabolic Equations with Logarithmic Nonlinearity

Wenjun Liu, Jiangyong Yu, Gang Li

Subject: Computer Science And Mathematics, Analysis Keywords: blow-up; fractional pseudo-parabolic equations; initial energy; logarithmic nonlinearity

Online: 22 January 2018 (04:22:52 CET)

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Preprint ARTICLE | doi:10.20944/preprints201705.0222.v1

A New Class of Integrals Involving Extended Mittag–Leffler Functions

Gauhar Rahman, Abdul Ghaffar, Kottakkaran Sooppy Nisar, Shahid Mubeen

Subject: Computer Science And Mathematics, Analysis Keywords: extended Mittag–Leffler function; Wright-type hypergeometric functions; extended Wright-type hypergeometric functions

Online: 31 May 2017 (15:58:34 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201705.0175.v2

On the Duality of Regular and Local Functions

Jens V. Fischer

Subject: Computer Science And Mathematics, Analysis Keywords: generalized functions; tempered distributions; regular functions; local functions; regularization-localization duality; regularity; Heisenberg’s uncertainty principle

Online: 17 July 2017 (06:25:18 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201801.0074.v1

A New Extension of Beta and Hypergeometric Functions

Gauhar Rahman, Gulnaz Kanwal, Kottakkaran Sooppy Nisar, Abdul Ghaffar

Subject: Computer Science And Mathematics, Analysis Keywords: beta function; extended beta function; hypergeometric function; extended hypergeometric function; confluent hypergeometric function; extended confluent hypergeometric function; Mellin transform; beta distribution; mean; variance; transformation formula; summation formula

Online: 9 January 2018 (07:08:48 CET)

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Preprint ARTICLE | doi:10.20944/preprints201702.0057.v1

Global Existence, Asymptotic Behavior and Blow-up of Solutions for a Suspension Bridge Equation with Nonlinear Damping and Source Terms

Wenjun Liu, Hefeng Zhuang

Subject: Computer Science And Mathematics, Analysis Keywords: suspension bridges; fourth order wave equation; nonlinear damping; source term; existence; blow up

Online: 16 February 2017 (08:40:48 CET)

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Preprint ARTICLE | doi:10.20944/preprints201712.0101.v1

On Generalized k-Fractional Derivative Operator

Gauhar Rahman, Kottakkaran Sooppy Nisar, Shahid Mubeen

Subject: Computer Science And Mathematics, Analysis Keywords: beta function; k-beta function; hypergeometric function; k-hypergeometric function; Mellin transform; fractional derivative; Appell's function; k-Mittag-Leffler function

Online: 15 December 2017 (06:44:08 CET)

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Preprint ARTICLE | doi:10.20944/preprints201801.0067.v1

On the Stability of a Laminated Beam With Structural Damping and Gurtin-Pipkin Thermal Law

Wenjun Liu, Weifan Zhao

Subject: Computer Science And Mathematics, Analysis Keywords: laminated beam; Gurtin-Pipkin thermal law; well-posedness; exponential stability; lack of exponential stability

Online: 8 January 2018 (11:19:30 CET)

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Preprint ARTICLE | doi:10.20944/preprints201802.0036.v1

A new Generalization of Extended Beta and Hypergeometric Functions

Kottakkaran Sooppy Nisar, Gauhar Rahman, Shahid Mubeen

Subject: Computer Science And Mathematics, Analysis Keywords: Beta function; extended beta function; hypergeometric function; extended hypergeometric function; con uent hypergeometric function; extended con uent hyperge- ometric function; Mellin transform; beta distribution; transformation formula; summation formula.

Online: 5 February 2018 (14:30:15 CET)

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Preprint ARTICLE | doi:10.20944/preprints201801.0019.v1

A Model of Extracting Building from High Resolution Remote Sensing Image Based on Bayesian Convolutional Neural Networks

Xiaoxia Yang , Chengming Zhang, Shuai Gao, Fan Yu, Dejuan Song, Qingdi Wei, Yan Chen, Shouyi Wang

Subject: Computer Science And Mathematics, Analysis Keywords: high resolution remote sensing image; convolutional neural networks; full convolution networks; Bayesian convolutional neural networks; building extraction; conditional probability density function

Online: 3 January 2018 (04:46:44 CET)

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Preprint ARTICLE | doi:10.20944/preprints201712.0148.v1

Research on Some New Results Arising from Multiple q-Calculus

Uğur Duran, Mehmet Acikgoz, Serkan Araci

Subject: Computer Science And Mathematics, Analysis Keywords: quantum calculus; multiple quantum calculus; trigonometric functions; hyperbolic functions; Jackson’s integral

Online: 21 December 2017 (04:31:25 CET)

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Preprint ARTICLE | doi:10.20944/preprints201710.0161.v1

The (k, s)-Fractional Calculus of Class of a Function

Gauhar Rahman, Abdul Ghaffar, K. S. Nisar, Azeema Azeema

Subject: Computer Science And Mathematics, Analysis Keywords: fractional integral operators; fractional differential operators; generalized (k, s)-fractional integral operators; generalized (k, s)-fractional differential operators

Online: 25 October 2017 (03:07:32 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201901.0294.v2

Data Preprocessing for Evaluation of Recommendation Models in E-Commerce

Namrata Chaudhary, Drimik Roy Chowdhury

Subject: Computer Science And Mathematics, Analysis Keywords: Data preprocessing; data validation; recommendation engine; E-commerce; Click-through rate; Buy-through rate; online customer behavior; non-parametric outlier removal; personalization

Online: 1 February 2019 (10:22:37 CET)

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Preprint REVIEW | doi:10.20944/preprints202008.0495.v1

Coronavirus Pandemic (COVID-19): A Survey of Analysis, Modeling and Recommendations

Tehmina Amjad, Ali Daud, Malik Khizar Hayat, Muhammad Tanvir Afzal, Hussain Dawood

Subject: Computer Science And Mathematics, Analysis Keywords: coronavirus pandemic (COVID-19); analysis; modeling; recommendations; surveillance; social media analytics; meteorological effects; image processing; business and economy

Online: 24 August 2020 (02:54:47 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201712.0013.v1

Further Extension of Extended Fractional Derivative Operator of Riemann-Liouville

Gauhar Rahman, Shahid Mubeen, Kottakkaran Sooppy Nisar

Subject: Computer Science And Mathematics, Analysis Keywords: hypergeometric function; extended hypergeometric function; mellin transform; fractional derivative; appell's function

Online: 4 December 2017 (04:21:01 CET)

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Preprint ARTICLE | doi:10.20944/preprints201702.0038.v1

Global Existence and Exponential Decay for a Dynamic Contact Problem of Thermoelastic Timoshenko Beam with Second Sound

Wenjun Liu, Dongqin Chen, Biqing Zhu

Subject: Computer Science And Mathematics, Analysis Keywords: thermoelastic Timoshenko beam; global existence; exponential stability; second sound

Online: 13 February 2017 (09:37:37 CET)

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Preprint ARTICLE | doi:10.20944/preprints201712.0173.v1

There Is Only One Fourier Transform

Jens V. Fischer

Subject: Computer Science And Mathematics, Analysis Keywords: Integral Fourier Transform; Discrete-Time Fourier Transform (DTFT); Discrete Fourier Transform (DFT); Integral Fourier Transform for periodic functions; Fourier series; Poisson Summation Formula; periodization trick; interpolation trick

Online: 25 December 2017 (09:00:18 CET)

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Preprint ARTICLE | doi:10.20944/preprints201801.0003.v1

A Paradox of Unity

Jens V. Fischer

Subject: Computer Science And Mathematics, Analysis Keywords: Dirac impulse; generalized functions; tempered distributions; paradox of unity; Dirac's delta squared; quantum mechanics; Born's principle of reciprocity; scalar self-reciprocity

Online: 2 January 2018 (06:47:57 CET)

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Preprint ARTICLE | doi:10.20944/preprints202005.0154.v1

LMM-22: An Enhanced Linear Mixed Model (LMM) Approach for Genome-Wide Association Studies (GWAS) for the Prediction of Diseases and Traits among Humans from Genomics Data

Siddharth Sharma

Subject: Computer Science And Mathematics, Analysis Keywords: GWAS Studies; Linear Mixed Models; GPU Acceleration

Online: 9 May 2020 (08:20:12 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202008.0578.v1

The Mapping of the Main Functions and Different Variations of YH-DIE

Gilbert Mason, Yuanjue Chou, Springer Pind

Subject: Computer Science And Mathematics, Analysis Keywords: complete Riemannian manifolds; entire solutions; minimal graphs; differential equat; algebraic variety

Online: 26 August 2020 (10:19:32 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201711.0076.v1

On Image Formulae Leading to Fractional Kinetic Equations Solutions via Sumudu Generalized k-Bessel Functions

Kottakkaran S. Nisar, Moheb S. Abouzaid, Fethi Bin M. Belgacem

Subject: Computer Science And Mathematics, Analysis Keywords: fractional calculus; k-bessel function; fractional kinetic equations; laplace transforms

Online: 13 November 2017 (03:45:49 CET)

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Preprint ARTICLE | doi:10.20944/preprints201711.0164.v2

Solutions of Generalized Fractional Kinetic Equations via Sumudu Transforms Involving Bessel-Struve Kernel Function

Kottakkaran S. Nisar, Gauhar Rahman, Fethi Bin M. Belgacem

Subject: Computer Science And Mathematics, Analysis Keywords: Fractional Calculus; Bessel-Struve Function; Fractional Kinetic Equations; Sumudu Transforms

Online: 27 November 2017 (05:23:54 CET)

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Preprint ARTICLE | doi:10.20944/preprints201710.0187.v1

Image Features Based on Characteristic Curves and Local Binary Patterns for Automated HER2 Scoring

Ramakrishnan Mukundan

Subject: Computer Science And Mathematics, Analysis Keywords: medical image classification; local binary patterns; characteristic curves; whole slide image pro-cessing; automated HER2 scoring

Online: 31 October 2017 (03:10:22 CET)

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Preprint ARTICLE | doi:10.20944/preprints201712.0195.v1

On Extended Caputo Fractional Derivative Operator

Gauhar Rahman, Kottakkaran Sooppy Nisar, Muhammad Arshad

Subject: Computer Science And Mathematics, Analysis Keywords: hypergeometric function; beta function; extended hypergeometric function; Mellin transform; fractional derivative; Caputo fractional derivative; Appell's function; generating relation

Online: 28 December 2017 (08:11:51 CET)

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Preprint ARTICLE | doi:10.20944/preprints201901.0294.v1

Data Preprocessing for Evaluation of Recommendation Models in E-Commerce

Namrata Chaudhary, Drimik Roy Chowdhury

Subject: Computer Science And Mathematics, Analysis Keywords: : Data preprocessing 1; data validation 2; recommendation engine 3; E-commerce 4; Click-through rate 5; Buy-through rate 6; online customer behavior 7; non-parametric outlier removal 8; personalization 9

Online: 29 January 2019 (09:49:55 CET)

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Preprint ARTICLE | doi:10.20944/preprints201802.0126.v1

New Definitons about A^I-Statistical Convergence with Respect to a Sequence of Modulus Functions and Lacunary Sequences

Ömer Kişi, Hafize Gümüş, Ekrem Savaş

Subject: Computer Science And Mathematics, Analysis Keywords: Lacunary sequence; ideal convergence; modulus function

Online: 20 February 2018 (09:15:49 CET)

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Preprint ARTICLE | doi:10.20944/preprints201902.0190.v1

A Note on Smooth Transcendental Approximation to |x|

Yogesh J. Bagul, Bhavna K. Khairnar

Subject: Computer Science And Mathematics, Analysis Keywords: Smooth transcendental approximation; Hyperbolic tangent

Online: 20 February 2019 (11:44:07 CET)

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Preprint ARTICLE | doi:10.20944/preprints201801.0130.v1

Well-Posedness and Asymptotic Stability to a Laminated Beam in Thermoelasticity of Type III

Yue Luan, Wenjun Liu, Gang Li

Subject: Computer Science And Mathematics, Analysis Keywords: laminated beam; thermoelasticity of type III; exponential decay; polynomial decay

Online: 16 January 2018 (04:39:34 CET)

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Preprint ARTICLE | doi:10.20944/preprints201801.0089.v1

A New Extension of Extended Caputo Fractional Derivative Operator

Gauhar Rahman, Kottakkaran Sooppy Nisar, Shahid Mubeen

Subject: Computer Science And Mathematics, Analysis Keywords: hypergeometric function; beta function; extended hypergeometric function; mellin transform; fractional derivative; caputo fractional derivative; appell's function; generating relation

Online: 10 January 2018 (09:37:35 CET)

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Preprint ARTICLE | doi:10.20944/preprints201710.0181.v1

Texture Based Quality Analysis of Simulated Synthetic Ultrasound Images Using Local Binary Patterns

Prerna Singh, Ramakrishnan Mukundan, Rex De Ryke

Subject: Computer Science And Mathematics, Analysis Keywords: ultrasound image analysis; speckle noise; synthetic ultrasound images; texture features; local binary patterns; image quality assessment

Online: 30 October 2017 (09:37:59 CET)

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Preprint ARTICLE | doi:10.20944/preprints201710.0174.v1

Popoviciu's Type Inequalities for h-MN-Convex Functions

Mohammad W. Alomari

Subject: Computer Science And Mathematics, Analysis Keywords: h-convex function; means; popoviciu inequality

Online: 28 October 2017 (07:27:53 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201903.0140.v1

Sigmoid functions for the smooth approximation to $ \vert{x}\vert $

Yogesh J. Bagul, Christophe Chesneau

Subject: Computer Science And Mathematics, Analysis Keywords: Sigmoid functions; error function; smooth approximation; Hyperbolic tangent

Online: 13 March 2019 (09:12:38 CET)

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Preprint ARTICLE | doi:10.20944/preprints201712.0034.v1

Ostrowski and Trapezoid Type Inequalities for the Generalized k-g-Fractional Integrals of Functions with Bounded Variation

Silvestru Sever Dragomir

Subject: Computer Science And Mathematics, Analysis Keywords: generalized Riemann-Liouville fractional integrals; Hadamard fractional integrals; functions of bounded variation; Ostrowski type inequalities; Trapezoid inequalities

Online: 6 December 2017 (08:32:00 CET)

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Let g be a strictly increasing function on

(a, b),

having a continuous derivative g′ on

(a, b) .

For the Lebesgue integrable function

f : (a, b) \to C

, we define the k-g-left-sided fractional integral of f by

S_{k, g, a +} f (x) = \int_{a}^{x} k (g (x) - g (t)) g^{'} (t) f (t) d t, x \in (a, b]

and the k-g-right-sided fractional integral of f by

S_{k, g, b -} f (x) = \int_{x}^{b} k (g (t) - g (x)) g^{'} (t) f (t) d t, x \in [a, b),

where the kernel k is defined either on

(0, \infty)

or on

[0, \infty)

with complex values and integrable on any finite subinterval. In this paper we establish some Ostrowski and trapezoid type inequalities for the k-g-fractional integrals of functions of bounded variation. Applications for mid-point and trapezoid inequalities are provided as well. Some examples for a general exponential fractional integral are also given.

Preprint ARTICLE | doi:10.20944/preprints202207.0068.v1

Requirements, Challenges, and Use of Digital Devices and Apps for Blind and Visually Impaired

Sahar Busaeed, Rashid Mehmood, Iyad Katib

Subject: Computer Science And Mathematics, Analysis Keywords: blind; visually impaired; assistive devices; object recognition; navigation; virtual assistants; Smart Cities; Saudi Arabia

Online: 5 July 2022 (08:24:38 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201710.0176.v1

Some Properties of h-MN-Convexity and Jensen’s Type Inequalities

Mohammad W. Alomari

Subject: Computer Science And Mathematics, Analysis Keywords: h-Convex function; means; Jensen inequality

Online: 30 October 2017 (03:02:46 CET)

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In this work, we introduce the class of h-MN-convex functions by generalizing the concept of MN-convexity and combining it with h-convexity. Namely, let M : [0, 1] → [a, b] be a Mean function given by M (t) = M (t; a, b); where by M (t; a, b) we mean one of the following functions: A_t(a, b) := (1 − t) a + tb, G_t(a, b) = a¹^−tb^t and H_t(a, b) :=

\frac{a b}{t a + (1 - t) b} = \frac{1}{A_{t} (\frac{1}{a}, \frac{1}{b})}

with the property that M (0; a, b) = a and M (1; a, b) = b. Let I, J be two intervals subset of (0, ∞) such that (0, 1) ⊆ J and [a, b] ⊆ I. Consider a non-negative function h : J → (0, ∞), a function f : I → (0, ∞) is said to be h-MN-convex (concave) if the inequality f (M (t; x, y)) ≤ (≥) N (h(t); f (x), f (y)), holds for all x, y ∈ I and t ∈ [0, 1]. In this way, nine classes of h-MN-convex functions are established, and therefore some analytic properties for each class of functions are explored and investigated. Characterizations of each type are given. Various Jensen’s type inequalities and their converses are proved.

Preprint ARTICLE | doi:10.20944/preprints201802.0155.v1

Some New Results Associated with the Generalized Lommel-Wright Function

Sirazul Haq, Kottakkaran Sooppy Nisar, Abdul Hakim Khan

Subject: Computer Science And Mathematics, Analysis Keywords: Gamma function; generalized Wright hypergeometric function ${_p \psi_q}$; hypergeometric function ${}_pF_q$; generalized Lommel-Wright functions $J^{\mu\,m}_{\nu,\lambda}(z)$; Lavoie-Trottier integral formula

Online: 26 February 2018 (10:24:47 CET)

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Preprint ARTICLE | doi:10.20944/preprints201906.0225.v1

On 2-Inner Product Spaces and Reproducing Kernel Property

Saeed Hashemi Sababe

Subject: Computer Science And Mathematics, Analysis Keywords: 2-inner product; vector-valued spaces; 2-semi norm.

Online: 22 June 2019 (14:46:09 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201905.0295.v1

Optinalysis: A New Approach of Multivariate Analysis through A Looking-Glass

Kabir Bindawa Abdullahi

Subject: Computer Science And Mathematics, Analysis Keywords: Kabirian coefficient; symmetry; similarity; geometrical analysis; geostatistical analysis; statistical analysis

Online: 24 May 2019 (12:08:17 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201803.0008.v1

A (p,v)-Extension of Hurwitz-Lerch Zeta Function and its Properties

Gauhar Rahman, KS Nisar, Shahid Mubeen

Subject: Computer Science And Mathematics, Analysis Keywords: Extended beta function, hypergeometric functions, Hurwitz-Lerch Zeta functions, Mellin transform, transformation formula and summation formula.

Online: 1 March 2018 (14:46:40 CET)

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Preprint ARTICLE | doi:10.20944/preprints201712.0159.v1

Elucidating Cellular Population Dynamics by Molecular Density Function Perturbations

Thanner Malai Perumal, Rudiyanto Gunawan

Subject: Computer Science And Mathematics, Analysis Keywords: mathematical modeling; biological networks; sensitivity analysis; programmed cell death; single cell dynamics; cell population

Online: 22 December 2017 (01:48:00 CET)

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Preprint BRIEF REPORT | doi:10.20944/preprints202005.0405.v1

COVID 19 Data Visualization through Automatic Phase Detection

Pradipta Biswas, Kamalpreet Singh Saluja, Somnath Arjun, LRD Murthy, Gowdham Prabhakar, Vinay Krishna Sharma, Jeevitha Shree DV

Subject: Computer Science And Mathematics, Analysis Keywords: Data Visualization; Information Visualization; COVID 19 Pandemic

Online: 24 May 2020 (20:23:04 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201901.0089.v2

A New Set Theory for Analysis

Juan Ramirez

Subject: Computer Science And Mathematics, Analysis Keywords: General Topology, Axiomatic Set Theory, Real Analysis, Continuum, Graph Theory, Benacerraf's Identification Problem, Mathematical Structuralism

Online: 11 January 2019 (14:30:13 CET)

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Preprint ARTICLE | doi:10.20944/preprints201711.0097.v1

Inequalities for Hypo-q-Norms on a Cartesian Product of Inner Product Spaces

Silvestru Dragomir

Subject: Computer Science And Mathematics, Analysis Keywords: hypo-q-norms, Cartesian product

Online: 15 November 2017 (17:00:56 CET)

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Preprint ARTICLE | doi:10.20944/preprints201806.0479.v1

Composite and Wearable Sensor Kit for Location Aware Healthcare Monitoring and Real-Time Trauma Scoring for Survival Prediction.

Amit Walinjkar

Subject: Computer Science And Mathematics, Analysis Keywords: Wearable Healthcare kit; Composite IoT sensors; Trauma Scoring; TRISS; Prediction of Survival PoS; NEWS; RTS; HL7 FHIR; SNOMED-CT; Location Aware Healthcare kit; GIS GPS Healthcare kit

Online: 28 June 2018 (15:44:00 CEST)

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With the availability of wearable health monitoring sensor modules like 3-Lead Electrocardiogram (ECG), Pulse Oximeter (SpO2), Galvanic Skin Response (GSR), Hall effect sensor (for measuring Respiratory Rate), Blood Pressure and Temperature measuring and sensing elements, it has now become possible to device a composite health status monitoring kit that can measure vital signs and other physiological parameters pertaining to human health in real time. Traditionally, the physiological parameters along with vital signs related examination was possible only in a hospitalized or ambulatory environment, however due to advances in sensing and embedded system technology and miniaturization of data acquisition and processing elements health monitoring has become possible even when individuals remain engaged in their day to day activities at the convenience of space and location. The patients or individuals subject to monitoring may suffer from a traumatic experience due to their medical condition and may need emergent incidence response and the critical care team may have to prepare for the treatment only after the patient arrives, which often is too late, as in case of cardiac arrests or severe injuries. The research focused on real-time health status monitoring and trauma scoring using standard physiological parameters along with standard telemetry protocols to make the critical care team aware of an emergent situation and prepare for a medical emergency. Vital signs and physiological parameters (heart rate, temperature, respiratory rate, and blood pressure, SpO2) were measured in real time from human subjects non-invasively. In order to enable monitoring of the patients engaged in day to day activities, errors due to the motion were removed using stationary wavelet transform correction (correlation coefficient of 0.9 after correction) and signals from various sensors were denoised, filtered and were encoded in a format suitable for further data analysis. A composite sensor kit capable of monitoring vital signs and physiological parameters can be very useful in incident response when an individual undergoes a traumatic experience related to stroke, cardiac arrest, fits or even injury, as along with monitoring information the kit can calculate scores related to trauma like the Injury Severity Score (ISS), National Early Warning Signs (NEWS), Revised Trauma Score (RTS). Trauma Injury Severity Score (TRISS), Probability of Survival (Ps) score. An open access database of vital signs and physiological parameters from Physionet, MIMIC 2 Numerics (mimicdb/numerics) database was used to calculate NEWS and RTS and to generate correlation and regression models using the vital signs/physiological parameters for a clinical class of patients with respiratory failure and admitted to Intensive Care Unit (ICU). NEWS and RTS scores showed no significant correlation (r = 0.25, p<0.001) amongst themselves, however together NEWS and RTS showed significant correlation with Ps (blunt) (r = 0.70, p<0.001). RTS and Ps (blunt) scores showed some correlation (r = 0.63, p<0.001) and NEWS score showed significant correlation (r = 0.79, p<0.001) with Ps (blunt) scores. Furthermore, since individuals have to be monitored regardless of location, these kits have to have a built-in capability to locate the individual so that the incident response team can locate the individual based on Global Positioning System coordinates (GPS). A Quantum GIS (Geographical Information System) application using real-time GPS coordinates (OpenStreetMap coordinates) was used to calculate the shortest path using QGIS Network Analysis tool to demonstrate the calculation of shortest path and direction to locate the nearest service provider in shortest time. Along with locating the nearest healthcare service provider, it would help if the critical care team could be made aware of the physiological parameters and trauma scores using standard protocols accepted across the globe. The physiological parameters from the sensors along with the calculated trauma scores were encoded according to a standard Systematized Nomenclature of Medicine-Clinical Terms (SNOMED-CT) coding system and International Code of Diseases (ICD) codes and the trauma information was logged to Electronic Health Records (EHR) using Fast Health Interoperability Resources (FHIR) servers. FHIR servers provided interoperable web services to log the event information in real time. It could be concluded that analytical models trained on existing datasets can help in analyzing a traumatic experience or an injury and the information can be logged using a standard telemetry protocol as a telemedicine initiative. These scores enable the healthcare service providers to estimate the extent of trauma and prepare for medical emergency procedures and find applications in general and military healthcare.

Preprint ARTICLE | doi:10.20944/preprints201906.0224.v1

On Partial Sums of Analytic Univalent Functions

Mohammad Mehdi Shabani, Saeed Hashemi Sababe

Subject: Computer Science And Mathematics, Analysis Keywords: harmonic; univalent; convex; partial sums

Online: 22 June 2019 (12:35:50 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201804.0038.v1

Characterization of Caristi Type Mapping through its Absolute Derivative

Mohamad Muslikh, Adem Kilicman, Siti Hasana, Norfifah Bachok

Subject: Computer Science And Mathematics, Analysis Keywords: Fixed point theorem; Differentiation; Metric space

Online: 3 April 2018 (15:30:34 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201803.0017.v1

Inequalities and Approximations for the Finite Hilbert Transform: A Survey of Recent Results

Silvestru Sever Dragomir

Subject: Computer Science And Mathematics, Analysis Keywords: Finite Hilbert Transform; Lipschitzian; Monotonic; Convex functions; Midpoint and Trapezoid inequalities; Ostrowski's inequality; Taylor's formula

Online: 2 March 2018 (05:11:07 CET)

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Preprint ARTICLE | doi:10.20944/preprints201804.0145.v1

Inequalities of Hermite-Hadamard Type for Composite Convex Functions

Silvestru Dragomir

Subject: Computer Science And Mathematics, Analysis Keywords: convex functions; AG, AH-convex functions; GA, GG, GH -convex functions and HA, HG, HH-convex function; integral inequalities

Online: 11 April 2018 (08:46:29 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201806.0089.v1

A Generalized Fejér-Hadamard Inequality for Harmonically Convex Functions via Generalized Fractional Integral Operator and Related Results

Shin Min Kang, Ghulam Abbas, Ghulam Farid, Waqas Nazeer

Subject: Computer Science And Mathematics, Analysis Keywords: harmonically convex functions; hadamard inequality; generalized fractional integral operator; Mittag-Leffler function

Online: 6 June 2018 (12:06:15 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201806.0071.v1

Hermite Hadamard Type Inequalities for Functions Whose Derivatives Are η- Convex via Fractional Integrals

Shin Min Kang, Muhammad Shoaib Saleem, Mamoona Ghafoor, Waqas Nazeer

Subject: Computer Science And Mathematics, Analysis Keywords: convex function; η- convex function; Hermite Hadamard type inequality; fractional integral

Online: 5 June 2018 (13:35:50 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201909.0116.v1

Reverses of Féjer's Inequalities for Convex Functions

Silvestru Sever Dragomir

Subject: Computer Science And Mathematics, Analysis Keywords: convex functions; Integral inequalities; Hermite-Hadamard inequality; Féjer's inequalities

Online: 11 September 2019 (05:22:39 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201804.0005.v1

A Forward-Reverse Brascamp-Lieb Inequality: Entropic Duality and Gaussian Optimality

Jingbo Liu, Thomas A. Courtade, Paul W. Cuff, Sergio Verdú

Subject: Computer Science And Mathematics, Analysis Keywords: Brascamp-Lieb inequality; hypercontractivity; functional-entropic duality; Gaussian optimality; network information theory; image size characterization

Online: 2 April 2018 (06:02:33 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201905.0212.v1

Approximation of Fixed Points for Suzuki's Generalized Non-Expansive Mappings

Javid Ali, Faeem Ali, Puneet Kumar

Subject: Computer Science And Mathematics, Analysis Keywords: Suzuki's generalized non-expansive mappings; iterative schemes; fixed points; weak and strong convergence results; uniformly convex Banach spaces

Online: 16 May 2019 (10:54:50 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202006.0353.v1

Analysis and Forecast of COVID-19 Pandemic in Pakistan

Abdul Bari Malik

Subject: Computer Science And Mathematics, Analysis Keywords: COVID-19; Epidemiology; COVID-19 Analysis and Forecast in Pakistan; Forecasting; Estimation; ARIMA; Prophet; SIRD; Diffusion; Analysis

Online: 29 June 2020 (10:50:47 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201905.0389.v1

On the Hyers-Ulam-Rassias Stabilities of a General Quintic Functional Equation and a General Sextic Functional Equation

Yang-Hi Lee

Subject: Computer Science And Mathematics, Analysis Keywords: stability of a functional equation; general quintic functional equation; a general quintic mapping; general sextic functional equation; a general sextic mapping.

Online: 31 May 2019 (11:53:55 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201806.0235.v1

Rough I₂-Lacunary Statistical Convergence of Double Sequences

Ömer Kişi, Erdinç Dündar

Subject: Computer Science And Mathematics, Analysis Keywords: statistical convergence; I-convergence; rough convergence; lacunary sequences; double sequences

Online: 14 June 2018 (12:31:14 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201905.0018.v1

Some Distortion Theorems for New Subclass of Harmonic Univalent Functions

Mohammad Mehdi Shabani, Saeed Hashemi Sababe

Subject: Computer Science And Mathematics, Analysis Keywords: Convex harmonic functions; Starlike harmonic functions; Univalent harmonic functions; Extremal problems; differential operator

Online: 5 May 2019 (12:05:44 CEST)

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Preprint REVIEW | doi:10.20944/preprints202202.0212.v1

Knowledge Graph Embedding for Link Prediction Models

Ehtisham Ur Rehman, Aamir Saeed, Nasru Minallah, Abdul Hafeez

Subject: Computer Science And Mathematics, Analysis Keywords: Knowledge Graphs; Link Prediction; Semantic-Based Models; Translation Based Embedded Models

Online: 17 February 2022 (11:49:24 CET)

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Preprint ARTICLE | doi:10.20944/preprints201909.0272.v1

Generalized Integral Inequalities for Hermite-Hadamard Type via s-Convexity on Fractal Sets

Ohud Almutairi, Adem Kilicman

Subject: Computer Science And Mathematics, Analysis Keywords: s-convex function; hermite–hadamard inequalities; riemann-liouville fractional integrals; fractal space

Online: 24 September 2019 (12:07:36 CEST)

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Preprint REVIEW | doi:10.20944/preprints201904.0027.v1

The Pipeline of Processing fMRI Data with Python Based on the Ecosystem NeuroDebian

Qiang Li, Rong Xue

Subject: Computer Science And Mathematics, Analysis Keywords: neuroscience; big data; functional Magnetic Resonance (fMRI); pipeline; one platform system

Online: 2 April 2019 (07:39:13 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201901.0131.v1

Continuous Wavelet Transform of Schwartz Tempered Distributions in $S'(\mathbb R^n)$

Jagdish Narayan Pandey, Jay Singh Maurya, Santosh Kumar Upadhyay, Hari Mohan Srivastava

Subject: Computer Science And Mathematics, Analysis Keywords: function spaces and their duals; distributions; generalized functions; distribution space; wavelet transform of generalized functions

Online: 14 January 2019 (10:08:33 CET)

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Preprint ARTICLE | doi:10.20944/preprints201907.0032.v1

The Value Functions Approach and Hopf-Lax Formula for Multiobjective Costs via Set Optimization

Andreas Heinrich Hamel, Daniela Visetti

Subject: Computer Science And Mathematics, Analysis Keywords: multicriteria calculus of variations; value function; Hopf-Lax formula; Bellman's principle; Hamilton-Jacobi equation; set relations

Online: 2 July 2019 (07:56:14 CEST)

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Preprint HYPOTHESIS | doi:10.20944/preprints202106.0118.v1

Customer Churn - Prevention Model – Unsupervised Classification

JULIAN GRIJALBA FACUNDO

Subject: Computer Science And Mathematics, Analysis Keywords: Churn 1; customer churn; customer segmentation; churn prevention; predictive churn 21 model; recommendation system engine.

Online: 3 June 2021 (13:34:28 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201802.0136.v1

Some Inequalities of Hermite-Hadamard Type]{Some Inequalities of Hermite-Hadamard Type for Hyperbolic p-Convex Functions

Silvestru Dragomir

Subject: Computer Science And Mathematics, Analysis Keywords: Convex functions, Hyperbolic p-convex Functions, Hermite-Hadamard inequalities, Integral inequalities.

Online: 21 February 2018 (15:04:44 CET)

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Preprint ARTICLE | doi:10.20944/preprints201712.0173.v2

There Is Only One Fourier Transform

Jens V. Fischer

Subject: Computer Science And Mathematics, Analysis Keywords: Fourier Transform; Discrete-Time Fourier Transform (DTFT); Discrete Fourier Transform (DFT); Fourier Series; Poisson Summation Formula; discretization; periodization; discrete function; periodic function; periodization trick

Online: 23 May 2018 (07:42:15 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201802.0059.v1

Some Inequalities of Hermite-Hadamard Type for Trigonometrically Rho-Convex Functions

Silvestru Dragomir

Subject: Computer Science And Mathematics, Analysis Keywords: No KW Yet

Online: 7 February 2018 (10:25:05 CET)

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Preprint ARTICLE | doi:10.20944/preprints201812.0349.v1

Oscillation of a Class of Third Order Generalized Functional Difference Equation

P.Venkata Mohan Reddy, Adem Kilicman, Maria Susai Manuel

Subject: Computer Science And Mathematics, Analysis Keywords: Generalized difference operator; Oscillation; Convergence.

Online: 28 December 2018 (12:37:29 CET)

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Computer Science and Mathematics