On a Refinement of Hardy-Hilbert's Inequality and Its Applications

被引：2

作者：

杨必成

机构：

来源：

Communications in Mathematical Research | 2000年 / 03期

关键词：

Hardy-Hilbert’s inequality; weight coefficient; Hardy- Littlewood’s inequality;

D O I：

10.13447/j.1674-5647.2000.03.006

中图分类号：

O178 [不等式及其他];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, by introducting a weight coefficient of the form: π/sin(π/r)-1/10(2n+1)1+1/r (r＞1, n∈N0), Hardy-Hilbert’s inequality is refined. As its applications, an equivalent Hard y-Hilbert’s type inequality and its strengthened form are given, and Hardy-Li ttlewood’s inequality is generalized and improved.

引用

页码：279 / 286

页数：8