Integral analog of one generalization of the Hardy inequality and its applications
β Scribed by O. M. Mulyava
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 180 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0041-5995
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π SIMILAR VOLUMES
This paper deals with some new generalizations of Hardy's integral inequality. An improvement of some inequality is also presented.
In this paper we establish some new generalizations of the Hardy's inequality by using a fairly elementary analysis. The inequalities given here contain in the special cases, some of the recent generalizations of Hardy's integral inequality appearing in the literature.
A new generalized version of AczΓ©l'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.