Generalizations of Aczel's inequality and Popoviciu's inequality

被引：0
|
作者：
Wu, SH [1 ]
Debnath, L
机构：
[1] Longyan Coll, Dept Math, Fujian 364012, Peoples R China
[2] Univ Texas Pan Amer, Dept Math, Edinburg, TX 78539 USA
来源：
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2005年 / 36卷 / 02期
关键词：
Aczel's inequality; Popoviciu's inequality; power mean inequality; generalization; Concave function;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we give new generalizations of Aczel's inequality and Popoviciu's inequality, which has broad applications to mathematical analysis. We improve a number of algebraic inequalities and obtain some new ones. Furthermore, we also point out that a new generalization of Aczel's inequality by Mitrinovic (2), Wang (7) and Kuang (8) is not true in general. In the end, we give an analogue of Popoviciu's inequality.
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页码：49 / 62
页数：14
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