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

被引：0
作者：
Xingdong Liu
Bicheng Yang
机构：
[1] Zhaoqing University,Department of Mathematics
[2] Guangdong Institute of Education,Department of Mathematics
来源：
Journal of Inequalities and Applications | / 2010卷
关键词：
Positive Constant; Weight Function; Function Space; Integral Operator; Real Function;
D O I：
暂无
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学科分类号：
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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