A MORE ACCURATE HALF-DISCRETE HILBERT-TYPE INEQUALITY WITH A GENERAL NON-HOMOGENEOUS KERNEL AND OPERATOR EXPRESSIONS

被引：8
作者：
Huang, Qiliang [1 ]
Wang, Aizhen [1 ]
Yang, Bicheng [1 ]
机构：
[1] Guangdong Univ Educ, Dept Math, Guangzhou 510303, Guangdong, Peoples R China
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2014年 / 17卷 / 01期
关键词：
Half-discrete Hilbert-type inequality; weight function; equivalent form; reverse; Hilbert-type operator;
D O I：
10.7153/mia-17-28
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, by the use of the methods of weight functions and technique of real analysis, a more accurate half-discrete Hilbert-type inequality with a general non-homogeneous kernel and a best possible constant factor is given. The equivalent forms and some reverses are obtained. We also consider the operator expressions with the norm and some particular examples.
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收藏
页码：367 / 388
页数：22
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