几个常用双向不等式的统一证明

A uniform approach to several common mutual-direction inequalities

利用函数的凸性统一地处理了一些分析学中的重要不等式 ,首先建立了一个关于指数函数与线性函数的双向不等式 ,在此基础上给出了Cauchy、Bernoulli、H9 lder、Minkowski等双向不等式的统一而简洁的证明 .

From the convexity of a special function,an important inequality about exponential function and linear function was established. As application of this theorem, a uniform approach to several common inequalities was given.