Open Access
2010 A UNIFIED GENERALIZATION OF ACZÉL, POPOVICIU AND BELLMAN’S INEQUALITIES
Shanhe Wu
Taiwanese J. Math. 14(4): 1635-1646 (2010). DOI: 10.11650/twjm/1500405974

Abstract

In this paper, we give a unified generalization of Aczél, Popoviciu and Bellman’s inequalities. The result is then applied to deriving a refinement of Aczél’s inequality and Bellman’s inequality. As consequences, several interesting integral inequalities of Aczél-Popoviciu-Bellman type are obtained.

Citation

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Shanhe Wu. "A UNIFIED GENERALIZATION OF ACZÉL, POPOVICIU AND BELLMAN’S INEQUALITIES." Taiwanese J. Math. 14 (4) 1635 - 1646, 2010. https://doi.org/10.11650/twjm/1500405974

Information

Published: 2010
First available in Project Euclid: 18 July 2017

zbMATH: 1216.26012
MathSciNet: MR2663938
Digital Object Identifier: 10.11650/twjm/1500405974

Subjects:
Primary: 26D15 , 26D20

Keywords: Aczél's inequality , Bellman's inequality , generalization , Popoviciu's inequality , power mean , refinement

Rights: Copyright © 2010 The Mathematical Society of the Republic of China

Vol.14 • No. 4 • 2010
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