(h−m) $(h-m)$-convex functions and associated fractional Hadamard and Fejér–Hadamard inequalities via an extended generalized Mittag-Leffler function

Abstract

Abstract The aim of this paper is to present the Hadamard and the Fejér–Hadamard integral inequalities for (h−m) $(h-m)$-convex functions due to an extended generalized Mittag-Leffler function. These results contain several fractional integral inequalities for the well-known fractional integral operators. Also results for the generalized Mittag-Leffler function are mentioned.

Keywords

• Riemann–Lioville fractional integrals
• Mittag-Leffler function
• Fractional integrals
• ( h − m ) $(h-m)$ -convex functions