Research Info

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.
Abstract
In this paper, we give some inequalities for di erentiable 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.
Researchers Yamin Sayyari (First researcher)
hasan barsam (Second researcher)