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.

引用

页码：367 / 388

页数：22

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