University of Jiroft | hasan barsam

Research

Title	HERMITE-HADAMARD TYPE INEQUALITIES FOR m-CONVEX FUNCTIONS BY USING A NEW INEQUALITY FOR DIFFERENTIABLE FUNCTIONS
Type	Article
Keywords	Hermite-Hadamard inequalities, functional inequalities, m- convex functions, quasi-convex functions, special means, convex func- tions, Holder inequality, power-mean inequality.
Researchers	Yamin Sayyari, hasan barsam

Abstract

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.