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

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...

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Veröffentlicht in:Mathematical problems in engineering 2021-05, Vol.2021, p.1-8
Hauptverfasser: Set, Erhan, Mumcu, İlker
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1024-123X
1563-5147
DOI:10.1155/2021/5549258