A Hilbert-type integral inequality in the whole plane with a non-homogeneous kernel and a few parameters

被引：0
作者：
Zhaohui Gu
Bicheng Yang
机构：
[1] Guangdong University of Foreign Studies,School of Economics and Trade
[2] Guangdong University of Education,Department of Mathematics
来源：
Journal of Inequalities and Applications | / 2015卷
关键词：
Hilbert-type integral inequality; weight function; equivalent form; beta function; reverse; 26D15;
D O I：
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学科分类号：
摘要：
By using the way of real analysis and estimating the weight functions, we build a new Hilbert-type integral inequality in the whole plane with a non-homogeneous kernel and a few parameters. The constant factor related to the beta function is proved to be the best possible. We also consider the equivalent forms, the reverses, and some particular cases.
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