利用概率方法证明不等式

利用概率方法证明不等式

[摘要]：在分析数学里1些常见的不等式的证明，若运用代数的方法较难得到解决。但是我们可以针对不同的问题，通过构造适当的概率模型，运用概率的方法就可以较方便地证明某些数学不等式。这即显示了概率应用的巧妙性和优越性，同时还沟通了不同学科之间的联系。

[关键词]：随机变量;不等式 ;概率分布; 概率方法

Inequality is Masterly Proved by Means of Probabilities

Abstract： It will be difficult to prove some general unequal formulae by applying algebra method. But, the author properly constructs probabilistic model according to different problems we can Probabilistic methods are applied to prove some inequality. This has demonstrated the probability application ingenuity and the superiority , and different subjects are also connected each other.

Keywords： random variable; inequality; probability distribution; probability method