On a new extension of Hilbert's inequality with some parameters

被引：22

作者：

Yang, B ^{[1
]}

机构：

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

来源：

ACTA MATHEMATICA HUNGARICA | 2005年 / 108卷 / 04期

关键词：

Hilbert's inequality; weight coefficient; beta function; Holder's inequality;

D O I：

10.1007/s10474-005-0229-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By introducing some parameters and estimating the weight coefficient, we give a new extension of Hilbert's inequality with a best constant factor, which involves the beta function. As its applications, we consider the equivalent form and some particular results.

引用

页码：337 / 350

页数：14

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