Some generalizations of Aczél, Bellman's inequalities and related power sums
✍ Scribed by Xiaoyan Zhou
- Book ID
- 120733692
- Publisher
- Hindawi Publishing Corporation
- Year
- 2012
- Tongue
- English
- Weight
- 206 KB
- Volume
- 2012
- Category
- Article
- ISSN
- 1025-5834
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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.
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