Hermite–Hadamard-Type Inequalities for - Convex Functions via Katugampola Fractional Integral

Erhan Set and İlker Mumcu

Mathematical Problems in Engineering, 2021, vol. 2021, 1-8

Abstract:

This article is organized as follows: First, definitions, theorems, and other relevant information required to obtain the main results of the article are presented. Second, a new version of the Hermite–Hadamard inequality is proved for the F-convex function class using a fractional integral operator introduced by Katugampola. Finally, new fractional Hermite–Hadamard-type inequalities are given with the help of F-convexity.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:5549258

DOI: 10.1155/2021/5549258

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