Multiple Hilbert and Hardy-Hilbert inequalities with non-conjugate parameters

被引:23
|
作者
Brnetic, I
Krnic, M
Pecaric, J
机构
[1] Univ Zagreb, Fac Elect Engn & Comp, Zagreb, Croatia
[2] Univ Zagreb, Dept Math, Zagreb 1000, Croatia
[3] Univ Zagreb, Fac Text Technol, Zagreb 1000, Croatia
关键词
D O I
10.1017/S0004972700038454
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The main objective of this paper is a study of some new generalisations of Hilbert and Hardy-Hilbert type inequalities involving non-conjugate parameters. We prove general forms of multiple Hilbert-type inequalities, and we also introduce multiple inequalities of Hardy-Hilbert type with non-conjugate parameters.
引用
收藏
页码:447 / 457
页数:11
相关论文
共 50 条
  • [21] New kinds of Hardy-Hilbert's integral inequalities
    Sulaiman, W. T.
    APPLIED MATHEMATICS LETTERS, 2010, 23 (04) : 361 - 365
  • [22] New inequalities similar to Hardy-Hilbert's inequality
    Das, Namita
    Sahoo, Srinibas
    TURKISH JOURNAL OF MATHEMATICS, 2010, 34 (02) : 153 - 165
  • [23] SOME NEW INEQUALITIES SIMILAR TO HARDY-HILBERT'S INEQUALITY
    Sunanda, S. K.
    Nahak, C.
    Nanda, S.
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2010, 13 (03): : 601 - 611
  • [24] ON THREE INEQUALITIES SIMILAR TO HARDY-HILBERT'S INTEGRAL INEQUALITY
    Sulaiman, W. T.
    ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 2007, 76 (02): : 273 - 278
  • [25] A reverse extended Hardy-Hilbert's inequality with parameters
    Luo, Ricai
    Yang, Bicheng
    Huang, Xingshou
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2023, 2023 (01)
  • [26] Hardy-Hilbert's Integral Inequalities for Convex and Concave Functions
    Sulaiman, W. T.
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, 2008, 1048 : 507 - 515
  • [27] AN EXTENDED HARDY-HILBERT'S INEQUALITY WITH PARAMETERS AND APPLICATIONS
    Gu, Zhaohui
    Yang, Bicheng
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2021, 15 (04): : 1375 - 1389
  • [28] On a New Extended Hardy-Hilbert's Inequality with Parameters
    Yang, Bicheng
    Wu, Shanhe
    Liao, Jianquan
    MATHEMATICS, 2020, 8 (01)
  • [29] On a refinement of Hardy-Hilbert Inequality
    Sun, Baoju
    PROGRESS IN STRUCTURE, PTS 1-4, 2012, 166-169 : 3027 - 3030
  • [30] On an extension of the Hardy-Hilbert theorem
    Weijian, J
    Mingzhe, G
    Xuemei, G
    STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2005, 42 (01) : 21 - 35