n个正数的m级幂平均值的单调性及其应用

Monotonicity of m-th Power Average of n Positive Numbers and its Application

本文研究ｎ个正数的ｍ级（ｍ∈ｚ）幂平均值的单调性，得到了ｍ级幂平均值随ｍ单调增加的结果和它的两个推论，并将它们应用于不等式的证明。

In this parer, we prove the theorem that m-th power average of n positive numbers increases monotonously as m, and obtain two corollaries. These results are used to prove some inequalities.