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

摘要

In this paper, some new inequalities of the Hermite–Hadamard type for the classes of functions whose derivatives’ absolute values are m-convex and $( lpha , 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.