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Generalized Integral Inequalities for Hermite-Hadamard Type via s-Convexity on Fractal Sets
Ohud Almutairi
Adem Kilicman
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 2019, 2019110157 (doi: 10.20944/preprints201911.0157.v1). Almutairi, O.; Kilicman, A. Generalized Integral Inequalities for Hermite-Hadamard Type via s-Convexity on Fractal Sets. Preprints 2019, 2019110157 (doi: 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.
Subject Areas
s-convex function; Hermite–Hadamard inequalities; Riemann-Liouville fractional integrals; fractal space
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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