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

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