($p,h$)-Convex Functions Associated with Hadamard and Fejér-Hadamard Inequalities via $k$-Fractional Integral Operators

Abstract

In this article, generalized versions of the k -fractional Hadamard and Fejér-Hadamard inequalities are constructed. To obtain the generalized versions of these inequalities, k -fractional integral operators including the well-known Mittag-Leffler function are utilized. The class of ( p , h )-convex functions for Hadamard-type inequalities give the generalizations of results which have been proved in literature for p -convex, h -convex, and several functions deducible from these two classes.