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

页码：1575 / 1587

页数：13

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