A more accurate half-discrete Hilbert-type inequality with a non-homogeneous kernel
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- 作者：Bicheng Yang (1)
Xindong Liu (2) - 关键词：Hilbert ; type inequality ; weight function ; equivalent form ; operator
- 刊名：Journal of Inequalities and Applications
- 出版年：2012
- 出版时间：December 2012
- 年：2012
- 卷：2012
- 期：1
- 全文大小：202KB
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Xindong Liu (2)
1. Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong, 510303, China
2. Department of Mathematics, Zhaoqing University, Zhaoqing, Guangdong, 526061, China - ISSN：1029-242X
文摘
By means of weight functions and the improved Euler-Maclaurin summation formula, a more accurate half-discrete Hilbert-type inequality with a non-homogeneous kernel and a best constant factor is given. A best extension, some equivalent forms, the operator expressions as well as some particular cases are also considered. MSC: 26D15, 47A07.