A more accurate half-discrete Hilbert-type inequality with a non-homogeneous kernel

被引：3

作者：

Yang, Bicheng ^{[1
]}

Liu, Xindong ^{[2
]}

机构：

[1] Guangdong Univ Educ, Dept Math, Guangzhou 510303, Guangdong, Peoples R China

[2] Zhaoqing Univ, Dept Math, Zhaoqing 526061, Guangdong, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2012年

关键词：

Hilbert-type inequality; weight function; equivalent form; operator; OPERATOR;

D O I：

10.1186/1029-242X-2012-292

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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

引用

页数：12

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