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
收藏
页码：337 / 350
页数：14
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