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

中图分类号：

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.

引用

共 8 条

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[2]

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[3]

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[4]

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[5]

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[6]

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[7]

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[8]

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