一类与凸函数有关的不等式的概率证法

Probability Prove for a Class of Inequality Associated with Convex Functions

通过构造随机变量的方法,并结合凸函数的性质,证明了数学分析中的一些著名不等式,证明方法简明、独特.

Some famous inequalities in mathematics analysis are proved through constructing the random variable in combination with the features of convex functions. The proof is brief and distinctive.