关于平均值的几个定理

On some theorem of the average value

作者首先引入了几个正数的x次幂的平均值定义,进而得到在x变化过程中几个正数的x次幂的平均值的两个结果。另外,作者从关于函数平均值的引理入手,叙述了关于函数平均值的一系列性质,这些性质均以不等式的形式出现。

The definition of average value of x power of positive numbers is introduced. And then two results were got of average value of x power of positive numbers when x changes. In addition, a series of characteristics that appear in form of inequality are explained of average value of function.