三种平均数的统一与推广

The Integration and Generalization of Three Kinds of Averages

在幂平均的基础上,定义了加权幂平均并证明了加权幂平均的一个不等式,说明了加权幂平均是算术平均、几何平均和调和平均的统一和推广.

In this paper,the weighted power average is defined and an inequation of weighted power average is proofed on the basis of power average.We illustrate the weighted power average is integration and generalization of arithmetic average,geometry average and harmonic average.