Some new generalizations of Hilbert's type integral inequalities are proved. The results of this paper reduce to those of B.
On some new Hilbert-type inequalities
✍ Scribed by Zhao Chang-Jian; Chen Lian-Ying; Wing-Sum Cheung
- Book ID
- 111493132
- Publisher
- SP Versita
- Year
- 2011
- Tongue
- English
- Weight
- 181 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0139-9918
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
In this paper we obtain a new class of multivariable integral inequalities of Hilbert type. By specializing the upper estimate functions in the hypothesis and the parameters, we obtain many special cases, which include, in particular, the integral inequalities derived recently by Pachpatte.
In this work, by introducing some parameters and estimating the weight coefficient, a new inequality with a best constant factor is established, which is a relation between Hilbert's inequality and a Hilbert-type inequality. As applications, the reverse form and some particular results are considere