Version 1
: Received: 14 November 2019 / Approved: 14 November 2019 / Online: 14 November 2019 (10:52:01 CET)
How to cite:
Almutairi, O.; Kilicman, A. Generalized Integral Inequalities for Hermite-Hadamard Type via s-Convexity on Fractal Sets. Preprints.org2019, 2019110157. https://doi.org/10.20944/preprints201911.0157.v1
Almutairi, O.; Kilicman, A. Generalized Integral Inequalities for Hermite-Hadamard Type via s-Convexity on Fractal Sets. Preprints.org 2019, 2019110157. https://doi.org/10.20944/preprints201911.0157.v1
Cite as:
Almutairi, O.; Kilicman, A. Generalized Integral Inequalities for Hermite-Hadamard Type via s-Convexity on Fractal Sets. Preprints.org2019, 2019110157. https://doi.org/10.20944/preprints201911.0157.v1
Almutairi, O.; Kilicman, A. Generalized Integral Inequalities for Hermite-Hadamard Type via s-Convexity on Fractal Sets. Preprints.org 2019, 2019110157. https://doi.org/10.20944/preprints201911.0157.v1
Abstract
In this article, the new Hermite–Hadamard type inequalities are studied via generalized s-convexity on fractal sets. These inequalities derived on fractal sets are shown to be the generalized s-convexity on fractal sets. We proved that the absolute values of the first and second derivatives for the new inequalities are the generalization of s-convexity on fractal sets.
Keywords
s-convex function; Hermite–Hadamard inequalities; Riemann-Liouville fractional integrals; fractal space
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.