A UNIFIED GENERALIZATION OF ACZEL, POPOVICIU AND BELLMAN'S INEQUALITIES

被引：4
|
作者：
Wu, Shanhe [1 ]
机构：
[1] Longyan Univ, Dept Math & Comp Sci, Longyan 364012, Fujian, Peoples R China
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2010年 / 14卷 / 04期
关键词：
Aczel's inequality; Popoviciu's inequality; Bellman's inequality; Power mean; Generalization; Refinement; IMPROVEMENTS;
D O I：
10.11650/twjm/1500405974
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we give a unified generalization of Aczel, Popoviciu and Bellman's inequalities. The result is then applied to deriving a refinement of Aczel's inequality and Bellman's inequality. As consequences, several interesting integral inequalities of Aczel-Popoviciu-Bellman type are obtained.
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页码：1635 / 1646
页数：12
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