Hadamard Type Inequalities for $m$-Convex and $(\alpha,m)$-Convex Functions

摘要

In this paper we establish several Hadamard type inequalities for differentiable -convex and -convex functions. We also establish Hadamard type inequalities for products of two -convex or -convex functions. Our results generalize some results of B.G. Pachpatte as well as some results of C.E.M. Pearce and J. Pecaric.