一个新的积分不等式及其应用

A NEW INTEGRAL INEQUALITY AND ITS APPLICATIONS

给出了关于正值可积函数的幂独立于幂平均不等式，Ｈｏｌｄｅｒ不等式及Ｍｉｎｋｏｗｓｋｉ不等式之外的一个新的积分不等式，并给出了初步应用．

This paper establishes a new integral inequality to integrable functions with positive values, which can′t be proved with the inequality of power averages, Hlder′s inequality and Minkowski′s inequality. And some applications are given.