Yamin Sayyari - Department of Mathematics, Sirjan University of Technology, Sirjan, Iran
Hasan Barsam - Department of mathematics university of jiroft

In this paper, we give some inequalities for dierentiable convex functions which are connected with the Hermite-Hadamard's integral inequality holding for convex functions. Also, we obtain some estimates to the right-hand side of Hermite-Hadamard inequality for functions whose absolute values of fourth derivatives raised to positive real powers are m-convex. Finally, some natural applications to special means of real numbers are given.

Hermite-Hadamard inequalities, functional inequalities, m-convex functions, quasiconvex functions, Holder inequality