ON A MORE ACCURATE MULTIDIMENSIONAL HILBERT-TYPE INEQUALITY WITH PARAMETERS

被引：23
|
作者：
Yang, Bicheng [1 ]
机构：
[1] Guangdong Univ Educ, Dept Math, Guangzhou 510303, Guangdong, Peoples R China
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2015年 / 18卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Hilbert-type inequality; weight coefficient; equivalent form; operator; norm;
D O I：
10.7153/mia-18-32
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, by using the way of weight coefficients and technique of real analysis and complex analysis, a more accurate multidimensional discrete Hilbert-type inequality with a best possible constant factor and some parameters is given. The equivalent form, the operator expression with the norm are also considered.
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页码：429 / 441
页数：13
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