A further generalization of Aczel's inequality and Popoviciu's inequality

被引：0
|
作者：
Wu, Shanhe [1 ]
机构：
[1] Longyan Coll, Dept Math, Fujian 364012, Peoples R China
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2007年 / 10卷 / 03期
关键词：
Aczel's inequality; Popoviciu's inequality; generalized Holder's inequality; Bernoulli's inequality; generalization; sharpen;
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, a new generalization of Aczel's inequality is established, which contains as special case a sharpened version of Popoviciu's inequality: [GRAPHICS] where p, q, a(i), b(i) (i = 1, 2,..., n) are positive numbers, p(-1)+q(-1)=1, a(1)(p)-Sigma(n)(i=2) a(i)(p) > 0 and b(1)(q) - Sigma(n)(i=2) b(i)(q) > 0 Moreover, an integral inequality of Aczel-Popoviciu type is given.
引用
收藏
页码：565 / 573
页数：9
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