加权幂平均函数的单调性及其应用  

Monotonicity of Weighted Power Means Functions with Applications

作　　者：毕燕丽[1] 

机构地区：[1]威海职业学院基础部,山东省威海市264210

出　　处：《曲阜师范大学学报（自然科学版）》2008年第2期30-32,共3页Journal of Qufu Normal University(Natural Science)

摘　　要：定义了一类加权幂平均函数,讨论了其单调性,作为应用,给出了加权算术—几何—调和平均不等式和加权幂平均不等式的加细.A class of weighted power means functions is defined, and its monotonicity is discussed. As application, the refinements of the weighted arithmetic-geometric-harmonic means inequality and weighted Power means inequality are established.

关 键 词：单调性 加细 加权幂平均函数 加权幂平均不等式 

分 类 号：O178[理学—数学]