Preprint Article Version 1 This version is not peer-reviewed

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

Version 1 : Received: 23 September 2019 / Approved: 24 September 2019 / Online: 24 September 2019 (12:07:36 CEST)

How to cite: Almutairi, O.; Kilicman, A. Generalized Integral Inequalities for Hermite-Hadamard Type via s-Convexity on Fractal Sets. Preprints 2019, 2019090272 (doi: 10.20944/preprints201909.0272.v1). Almutairi, O.; Kilicman, A. Generalized Integral Inequalities for Hermite-Hadamard Type via s-Convexity on Fractal Sets. Preprints 2019, 2019090272 (doi: 10.20944/preprints201909.0272.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

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