A New Hilbert-type Integral Inequality with Some Parameters and Its Reverse

被引:0
作者
Xie, Zitian [1 ]
Yang, Bicheng [2 ]
机构
[1] Zhaoqing Univ, Dept Math, Zhaoqing 526061, Guangdong, Peoples R China
[2] Guangdong Educ Inst, Dept Math, Guangzhou 510303, Guangdong, Peoples R China
来源
KYUNGPOOK MATHEMATICAL JOURNAL | 2008年 / 48卷 / 01期
关键词
Hilbert-type integral inequality; weight function; Holder's inequality; equivalent inequality; reverse form;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, by introducing some parameters and estimating the weight function, we give a new Hilbert-type integral inequality with a best constant factor. The equivalent inequality and the reverse forms are considered.
引用
收藏
页码:93 / 100
页数:8
相关论文
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Hardy G. H., 1925, P LOND MATH SOC P, V23
[3]  
KANG J, 2004, APPL INEQUALITIES
[4]  
Mintrinovia D. S., 1991, INEQUALITIES INVOLVI
[5]  
Yang BC, 2005, MATH INEQUAL APPL, V8, P259
[6]  
Yang BC, 2001, J MATH ANAL APPL, V261, P295
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Yang Binh H, 2004, Asian Pac J Cancer Prev, V5, P96