Zafar, F.; Mehmood, S.; Asiri, A. Weighted Hermite-Hadamard inequalities for r−Times Differentiable Preinvex Functions for k−Fractional Integrals. Preprints2022, 2022080322. https://doi.org/10.20944/preprints202208.0322.v1
APA Style
Zafar, F., Mehmood, S., & Asiri, A. (2022). Weighted Hermite-Hadamard inequalities for r−Times Differentiable Preinvex Functions for k−Fractional Integrals. Preprints. https://doi.org/10.20944/preprints202208.0322.v1
Chicago/Turabian Style
Zafar, F., Sikander Mehmood and Asim Asiri. 2022 "Weighted Hermite-Hadamard inequalities for r−Times Differentiable Preinvex Functions for k−Fractional Integrals" Preprints. https://doi.org/10.20944/preprints202208.0322.v1
Abstract
In this paper, we have established some new bounds of Fejér type Hermite-Hadamard inequality for k−fractional integrals involving r−times differentiable preinvex functions. It is noteworthy that in the past there was no weighted version of left and right sides of the Hermite-Hadamard inequality for k-fractional integrals for generalized convex functions available in literature.
Keywords
Hermite-Hadamard-Fejér inequality; k−fractional integral; Preinvex function; r-times ; differentiable function
Subject
Computer Science and Mathematics, Analysis
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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Great work. Everything is explained in an excellent way.
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