Inequalities of Hermite-Hadamard and Bullen Type for Three Times Differentiable $AH$-Convex Functions

Abstract

In this paper, after introducing a new integral identity, by using this integral identity we obtain some new general inequalities of the Hermite-Hadamard and Bullen type for functions whose third derivatives in absolute value at certain power are arithmetically-harmonically convex. Some applications to special means of real numbers are also given.