Hermite-Hadamard type inequalities for m-convex and (alpha, m)-convex functions

Abstract

In this paper, some new inequalities of the Hermite-Hadamard type for the classes of functions whose derivatives' absolute values arem-convex and(alpha,m)-convex are obtained. The results obtained in this work extend and improve the corresponding ones in the literature. Some applications to special means of real numbers are also given.