On a more accurate half-discrete Hilbert's inequality

被引：3

作者：

Huang, Qiliang ^{[1
]}

Yang, Bicheng ^{[1
]}

机构：

[1] Guangdong Univ Educ, Dept Math, Guangzhou 510303, Guangdong, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2012年

关键词：

weight coefficient; parameter; equivalent form; reverse; Hilbert's inequality; Hadamard's inequality;

D O I：

10.1186/1029-242X-2012-106

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using the way of weight coefficients and the idea of introducing parameters and by means of Hadamard's inequality, we give a more accurate half-discrete Hilbert's inequality with a best constant factor. We also consider its best extension with parameters, the equivalent forms, the operator expressions as well as some reverses.

引用

页数：12

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