概率论中几个重要不等式的推广

The Generalization of Some Important Inequalities in Probability Theory

本文推广了概率论中的柯西——许瓦兹不等式和明科夫斯基不等式,还给出了赫尔德不等式的两个新结果,而且利用二元函数的泰勒公式给出了二元随机变量的严森不等式。

This article gencrlizes the Cauchy-Sehwartz's inequalities and Minkowski' s inequalities in Probability theory and presents two new results of H(O )lder's inegunlities. Moreover it presents the Jensen's inequalities of two-element stochastic variables, by using the Taylor's formala of two-element function.