Hermite–Hadamard-Type Inequalities for F-Convex Functions via Katugampola Fractional Integral. (8th May 2021)

• Record Type: Journal Article
• Authors: Set, Erhan; Mumcu, İlker
• Other Names: Kaymaz Irfan Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2021(2021)
• Publication Date: 2021-05-08
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2021/5549258
• Languages: English
• ISSNs: 1024-123X

Abstract

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.