Preprint Article Version 1 This version is not peer-reviewed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)

A peer-reviewed article of this Preprint also exists.

Almutairi, O.; Kılıçman, A. Generalized Integral Inequalities for Hermite–Hadamard-Type Inequalities via s-Convexity on Fractal Sets. Mathematics 2019, 7, 1065. Almutairi, O.; Kılıçman, A. Generalized Integral Inequalities for Hermite–Hadamard-Type Inequalities via s-Convexity on Fractal Sets. Mathematics 2019, 7, 1065.

Journal reference: Mathematics 2019, 7, 1065
DOI: 10.3390/math7111065

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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