| Hardy平均及其不等式 |
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| 引用本文： | 文家金.Hardy平均及其不等式[J].数学杂志,2007,27(4):447-450. |
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| 作者姓名： | 文家金 |
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| 作者单位： | 成都大学数学信息科学学院,四川,成都,610106 |
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| 基金项目： | 成都大学校科研和教改项目 |
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| 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.
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| 关 键 词： | Hardy平均 幂平均 对称平均 不等式 |
| 文章编号： | 0255-7797（2007）04-0447-04 |
| 修稿时间： | 2004-09-232004-10-28 |
HARDY MEAN AND THEIR INEQUALITIES |
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| WEN Jia-jin.HARDY MEAN AND THEIR INEQUALITIES[J].Journal of Mathematics,2007,27(4):447-450. |
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| Authors: | WEN Jia-jin |
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| Institution: | Dept. of Math. and Computer Science, Chengdu University, CAengdu 610106, China |
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| Abstract: | 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. |
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| Keywords: | Hardy mean power mean symmetric mean inequality |
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