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
On improvement of a Hilbert-type inequality
โ Scribed by Weidong Jiang; Yun Hua
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 238 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
โฆ Synopsis
In this paper, by using the Euler-Maclaurin expansion for the zeta function and estimating the weight function effectively, we derive an improvement of a Hilbert-type inequality proved by B.C. Yang.
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