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-Popo
Weighted generalization of Rado’s inequality and Popoviciu’s inequality
✍ Scribed by Shanhe Wu; Lokenath Debnath
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 166 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
✦ Synopsis
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.
📜 SIMILAR VOLUMES
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