一个重要的不等式的证法

The use of probability in improving a important inequality

概率论是数学的一个重要分支,不等式的证法是多种多样的。文章借助概率空间中对应的形式来证明数学中一类常用的不等式,用以显示概率论思想在解决某些数学问题时所具有的独特功能,同时也揭示概率论与其他数学分支之间的关系。

The probability is one of the most important branches of mathematics There are various methods of proving the inequality. A kind of inequality most in use had been demonstrated through the corresponding form of the probability space in this paper. That can highlight the peculiar function of the probability theory used to resolve some problems and can reflect the relationship between the probability theory and other branches of mathematics as well.