Some Generalization of Hadamard's type Inequalities through Differentiability for s-Convex Function and their Applications

摘要

In this paper, a general form of integral inequalities of Hermite-Hadamard'stype through differentiability for s-Convex function in second sense and whoseall derivatives are absolutely continuous are established. The generalizedintegral inequalities contributes some better estimates than some alreadypresented. The inequalities are then applied to numerical integration and somespecial means.