A half-discrete Hilbert-type inequality with a homogeneous kernel and an extension

被引：20
作者：
Yang, Bicheng [1 ]
Chen, Qiang [2 ]
机构：
[1] Guangdong Univ Educ, Dept Math, Guangzhou 510303, Guangdong, Peoples R China
[2] Guangdong Univ Educ, Dept Comp Sci, Guangzhou 510303, Guangdong, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2011年
关键词：
Hilbert-type inequality; homogeneous kernel; weight function; equivalent form; reverse;
D O I：
10.1186/1029-242X-2011-124
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Using the way of weight functions and the technique of real analysis, a half-discrete Hilbert-type inequality with a general homogeneous kernel is obtained, and a best extension with two interval variables is given. The equivalent forms, the operator expressions, the reverses and some particular cases are considered.
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页数：16
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