On a New Hilbert-Hardy-Type Integral Operator and Applications

被引：3
作者：
Liu, Xingdong [2 ]
Yang, Bicheng [1 ]
机构：
[1] Guangdong Inst 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 | 2010年
关键词：
Positive Constant; Weight Function; Function Space; Integral Operator; Real Function;
D O I：
10.1155/2010/812636
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By applying the way of weight functions and a Hardy's integral inequality, a Hilbert-Hardy-type integral operator is defined, and the norm of operator is obtained. As applications, a new Hilbert-Hardy-type inequality similar to Hilbert-type integral inequality is given, and two equivalent inequalities with the best constant factors as well as some particular examples are considered.
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页数：10
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