SOME INEQUALITIES FOR AH-CONVEX FUNCTIONS VIA BETA AND HYPERGEOMETRIC FUNCTIONS

摘要

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