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.
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页码：2858 / 2861
页数：4
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