On a Generalization of Hilbert's Inequality and Its Reinforcement

被引：0

作者：

Xi, Gaowen ^{[1
]}

机构：

[1] Chongqing Univ Sci & Technol, Coll Math & Phys, Chongqing 401331, Peoples R China

来源：

INDUSTRIAL INSTRUMENTATION AND CONTROL SYSTEMS, PTS 1-4 | 2013年 / 241-244卷

关键词：

Hilbert's inequality; weight coefficient; Cauchy's inequality; generalization; reinforcement;

D O I：

10.4028/www.scientific.net/AMM.241-244.2858

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

By deducing an inequality of the weight coefficient omega(n)(A, B) = Sigma(infinity)(m=1)1/Am + Bn(Bn/Am)(1/2) < pi/A - 35/24 root AB(root n+15/14 root n(-1)), where n is an element of N, A, B>0,and 21 min{A, B}(2)>19 max.{A, B}(2), the purposeof this paper is to establish on a generalization of Hilbert's inequality and its reinforcement.

引用

页码：2858 / 2861

页数：4

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