Refinements of generalized Aczél–Popoviciu’s inequality and Bellman’s inequality
✍ Scribed by Wengui Yang
- Book ID
- 108077540
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 290 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0898-1221
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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.
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
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.