摘要
本文研究了涉及Hardy平均的不等式问题.借助于优超理论,获得了2维Hardy平均不等式成立的充要条件及n维Hardy平均不等式的充分条件.并为建立解析不等式和高维结果提供了一些方法.
We study the subject of inequalities involving Hardy means in this paper. By means of theory of majorization, a necessary and sufficient condition that the inequality invoiving Hardy means of 2- dimension holds and a sufficient condition that the inequality invoiving Hardy means of n-dimension holds are obtained. In order to establish analytical ineqaulities and some results of higher dimension, these discourses provide several methods.
出处
《数学杂志》
CSCD
北大核心
2007年第4期447-450,共4页
Journal of Mathematics
基金
成都大学自然科学基金资助项目
关键词
Hardy平均
幂平均
对称平均
不等式
Hardy mean, power mean, symmetric mean
inequality 2000 MR Subject
