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
相关论文
共 50 条
  • [21] A New Hilbert-Type Integral Inequality with Parameters
    Xue Mei GAO
    Journal of Mathematical Research with Applications, 2011, (03) : 467 - 473
  • [22] A NEW HILBERT-TYPE INEQUALITY IN THE WHOLE PLANE
    Xin, Dongmei
    Yang, Bicheng
    He, Leping
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2023, 17 (04): : 1521 - 1538
  • [23] A New Hilbert-type Integral Inequality with Some Parameters and Its Reverse
    Xie, Zitian
    Yang, Bicheng
    KYUNGPOOK MATHEMATICAL JOURNAL, 2008, 48 (01): : 93 - 100
  • [24] A Hilbert-type integral inequality under configuring free power and its applications
    Qiong Liu
    Journal of Inequalities and Applications, 2019
  • [25] A Hilbert-type integral inequality under configuring free power and its applications
    Liu, Qiong
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (1)
  • [26] On a Hilbert-Type Integral Inequality with a Combination Kernel and Applications
    Yang, Bicheng
    KYUNGPOOK MATHEMATICAL JOURNAL, 2010, 50 (02): : 281 - 288
  • [27] A new Hilbert-type operator and applications
    Yang, Bicheng
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2010, 76 (1-2): : 147 - 156
  • [28] ON A BEST EXTENSION OF A HALF-DISCRETE HILBERT-TYPE INEQUALITY
    Yang, Bicheng
    JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2012, 5 (04): : 267 - 281
  • [29] On a half-discrete Hilbert-type inequality similar to Mulholland’s inequality
    Zhenxiao Huang
    Bicheng Yang
    Journal of Inequalities and Applications, 2013
  • [30] On a half-discrete Hilbert-type inequality similar to Mulholland's inequality
    Huang, Zhenxiao
    Yang, Bicheng
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
12345