In this paper, we give some improvements of the well-known Aczél inequality and the related results.
Some improvements of Aczél’s inequality and Popoviciu’s inequality
✍ Scribed by Shanhe Wu
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 258 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0898-1221
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✦ Synopsis
In this paper, we show several new generalized and sharpened versions of Aczél's inequality and Popoviciu's inequality, our results contain as special cases the improvement of certain known results on Aczél's inequality and Popoviciu's inequality. As application, an integral inequality of Aczél-Popoviciu type is obtained.
📜 SIMILAR VOLUMES
In this work, a weighted generalization of Rado's inequality and Popoviciu's inequality is given, from which some valuable inequalities of Rado-Popoviciu type are derived. Moreover, the result is used to obtain refinements of weighted mean value inequalities.
In this paper we establish some new generalizations of Aczél's inequality and of Bellman's inequality; we will conclude by presenting some refinements of these inequalities.
A new generalized version of Aczél's inequality is proved. This is a unified generalization of some known results. Moreover, the result is applied to the improvement of the well-known Bellman's inequality.