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

Abstract

In this article, generalized versions of the k-fractional Hadamard and Fejer-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.