Fractional Hermite-Hadamard type inequalities for subadditive functions

Author:

Ali Muhammad1,Sarikaya Mehmet2,Budak Hüseyin2

Affiliation:

1. Jiangsu Key Laboratory of NSLSCS, School of Mathematical Sciences Nanjing Normal University, China

2. Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce, Turkey

Abstract

In this paper, we establish different variants of fractional Hermite-Hadamard inequalities for subadditive functions via Riemann-Liouville fractional integrals. Moreover, we offer some fractional integral inequalities for the product of two subadditive functions via Riemann-Liouville fractional integrals. It is also shown that the inequalities offered in this research are the generalization of the already given inequalities for convex functions and subadditive functions.

Publisher

National Library of Serbia

Subject

General Mathematics

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