Extension of Hilbert's inequality

被引：99
作者：
Krnic, Mario
Pecaric, Josip
机构：
[1] Univ Zagreb, Dept Math, Zagreb 1000, Croatia
[2] Univ Zagreb, Fac Text Technol, Zagreb 1000, Croatia
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 324卷 / 01期
关键词：
inequalities; Hilbert's inequality; Hardy-Hilbert's inequality; Wuler-Maclaurin summation formula; weight function; equivalent inequalities; beta function;
D O I：
10.1016/j.jmaa.2005.11.069
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we make some further extensions of discrete Hilbert's inequality by using Euler-Maclaurim summation formula. We give the improvements of some previously obtained results and also compare our results with some previously known from the literature. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码：150 / 160
页数：11
相关论文
共 50 条
[21]   A note on Hilbert's inequality [J].
Yang, XJ .
APPLIED MATHEMATICS AND COMPUTATION, 2003, 137 (2-3) :589-593
[22]   A GENERALIZATION OF HILBERT'S INEQUALITY [J].
Gao, Peng .
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2015, 18 (02) :407-418
[23]   ON THE HILBERT INEQUALITY [J].
Yu, Zhou ;
Gao Mingzhe .
ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 2008, 77 (02) :305-312
[24]   A note on Hilbert's inequality [J].
Xiaojing, Yang .
Applied Mathematics and Computation (New York), 2003, 137 (2-3) :589-593
[25]   A Hardy-Hilbert's type inequality with gamma function and its applications [J].
He, Leping ;
Jia, Weijian ;
Gao, Mingzhe .
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2006, 17 (05) :355-363
[26]   HILBERT INEQUALITY AND GAUSSIAN HYPERGEOMETRIC FUNCTIONS [J].
Krnic, Mario .
JOURNAL OF MATHEMATICAL INEQUALITIES, 2009, 3 (04) :645-656
[27]   Inequalities similar to certain extensions of Hilbert's inequality [J].
Pachpatte, BG .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 243 (02) :217-227
[28]   New extensions of Hilbert’s inequality with multiple parameters [J].
Z. Q. Chen ;
J. S. Xu .
Acta Mathematica Hungarica, 2007, 117 :383-400
[29]   New extensions of Hilbert's inequality with multiple parameters [J].
Chen, Z. Q. ;
Xu, J. S. .
ACTA MATHEMATICA HUNGARICA, 2007, 117 (04) :383-400
[30]   A New Extension of Hardy-Hilbert's Inequality Containing Kernel of Double Power Functions [J].
Yang, Bicheng ;
Wu, Shanhe ;
Chen, Qiang .
MATHEMATICS, 2020, 8 (06)
12345