ON A NEW DISCRETE HILBERT-TYPE INEQUALITY AND ITS APPLICATIONS

被引：14
|
作者：
You, Minghui [1 ]
机构：
[1] Zhejiang Inst Mech & Elect Engn, Sch Humanities & Social Sci, Hangzhou 310053, Zhejiang, Peoples R China
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2015年 / 18卷 / 04期
关键词：
Hilbert-type inequality; multi-parameters; generalization; Euler-Maclaurin summation formula; beta function; EXTENSIONS; PARAMETERS;
D O I：
10.7153/mia-18-121
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a theorem related to the Hilbert-type inequality is corrected. By introducing parameters, and using Euler-Maclaurin summation formula, we give a discrete form of the Hilbert-type inequality involving a non-homogeneous kernel. Furthermore, we prove that our result is a concise generalization of the corrected theorem and some known results. As applications, some particular new results are presented.
引用
收藏
页码：1575 / 1587
页数：13
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