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) -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. [ABSTRACT FROM AUTHOR]