强s-凸函数的simpson型积分不等式

Integral Inequalities of Simpson Type for Strongly S-Convex Functions

凸函数是现代数学中的重要概念,并且在数学及其它学科领域中占有重要地位.而凸函数积分不等式有着自然的几何解释,并在控制理论等领域内有广泛的应用.本文建立了积分等式,并利用H?lder不等式得到了一些新的关于强s-凸函数的一些新的simpson型不等式.

Convex function is an important concept of modern mathematics and plays an important role in mathemat-ics and other subject fields. Convex function integral inequalitiy is widely applied in cybernetics theory, and so on. In this paper, an integral equality has been established and some new simpson type integral inequalities concerned with strongly s-convex have been obtained from H?lder inequality.