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
  • [1] On Hilbert type inequalities with non-conjugate parameters
    Kuang Jichang
    Debnath, L.
    APPLIED MATHEMATICS LETTERS, 2009, 22 (05) : 813 - 818
  • [2] On multiple Hardy-Hilbert integral inequalities with some parameters
    Yong, Hong
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2006, 2006 (1)
  • [3] on multiple Hardy-Hilbert integral inequalities with some parameters
    Hong Yong
    Journal of Inequalities and Applications, 2006
  • [4] On some general Hilbert's inequalities with non-conjugate parameters
    Krnić M.
    Pečarić J.
    Rendiconti del Circolo Matematico di Palermo, 2007, 56 (2) : 219 - 234
  • [5] Generalization of Hilbert and Hardy-Hilbert integral inequalities
    Yang, BC
    Brnetic, I
    Krnic, M
    Pecaric, J
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2005, 8 (02): : 259 - 272
  • [6] HARDY-HILBERT TYPE INEQUALITIES FOR HILBERT SPACE OPERATORS
    Kian, Mohsen
    ANNALS OF FUNCTIONAL ANALYSIS, 2012, 3 (02): : 128 - 134
  • [7] Inequalities of the Hilbert type in Rn with non-conjugate exponents
    Cizmesija, Aleksandra
    Peric, Ivan
    Vukovic, Predrag
    PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2008, 51 : 11 - 26
  • [8] HARDY-HILBERT TYPE INEQUALITIES FOR MATRICES
    Zhang, Jiao
    Zheng, Zhan
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2022, 25 (04): : 1069 - 1078
  • [9] Generalization of inequalities of Hardy-Hilbert type
    Brnetic, I
    Pecaric, J
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2004, 7 (02): : 217 - 225
  • [10] SOME REMARKS ON REVERSE HILBERT AND HARDY-HILBERT TYPE INEQUALITIES
    Krnic, Mario
    Pecaric, Josip
    Vukovic, Predrag
    RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2007, 56 (03) : 349 - 357