New Hermite–Hadamard type integral inequalities for convex functions and their applications

Abstract

In this paper, we establish (presumably new type) integral inequalities for convex functions via the Hermite–Hadamard’s inequalities. As applications, we apply these new inequalities to construct inequalities involving special means of real numbers, some error estimates for the formula midpoint are given. Finally, new inequalities for some special and q -special functions are also pointed out.