Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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

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. 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 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

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