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

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  • Erhan Set
  • İlker Mumcu

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.

Suggested Citation

  • Erhan Set & İlker Mumcu, 2021. "Hermite–Hadamard-Type Inequalities for - Convex Functions via Katugampola Fractional Integral," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-8, May.
    • Handle: RePEc:hin:jnlmpe:5549258
    DOI: 10.1155/2021/5549258
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