Some generalizations of Hadamard’s-type inequalities through differentiability for s-convex functions and their applications

摘要

In this paper, a general form of integral inequalities of Hermite-Hadamard’s type through differentiability for s-convex function in second sense and whose all derivatives are absolutely continuous are established. The generalized integral inequalities contributes some better estimates than some already presented. The inequalities are then applied to numerical integration and some special means.