A generalization of Bessel's inequality and Parseval's identity

被引:2
|
作者
Gunawan H. [1 ]
机构
[1] Department of Mathematics, Bandung Institute of Technology
关键词
Bessel's inequality; Hilbert spaces; n-inner products; Parseval's identity;
D O I
10.1023/A:1019640429393
中图分类号
学科分类号
摘要
We present an inequality and an identity involving Gram determinants, which can be viewed as a generalization of Bessel's and Parseval's, respectively. © Akadémiai Kiadó.
引用
收藏
页码:177 / 181
页数:4
相关论文
共 50 条
  • [31] A generalization of Clausen’s identity
    Raimundas Vidunas
    The Ramanujan Journal, 2011, 26 : 133 - 146
  • [32] A generalization of Kummer's identity
    Vidunas, R
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2002, 32 (02) : 919 - 936
  • [33] A note to Ujevic's generalization of Ostrowski's inequality
    Wu, QB
    Yang, SJ
    APPLIED MATHEMATICS LETTERS, 2005, 18 (06) : 657 - 665
  • [34] On a generalization of Busemann's intersection inequality
    Yaskin, Vladyslav
    JOURNAL OF FUNCTIONAL ANALYSIS, 2024, 287 (08)
  • [35] STEFFENSEN'S GENERALIZATION OF CEBYSEV INEQUALITY
    Awan, K. M.
    Pecaric, J.
    Rehman, Atiq Ur
    Journal of Mathematical Inequalities, 2015, 9 (01): : 155 - 163
  • [36] A Generalization Of Refined Young's Inequality
    Ighachane, Mohamed Amine
    Akkouchi, Mohamed
    APPLIED MATHEMATICS E-NOTES, 2022, 22 : 731 - 740
  • [37] A GENERALIZATION OF QI'S INEQUALITY FOR SUMS
    Shi, Huan-nan
    KRAGUJEVAC JOURNAL OF MATHEMATICS, 2010, 33 : 101 - 106
  • [38] A generalization of Ivan Prodanov's inequality
    Atanassov, Krassimir T.
    NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2015, 21 (04) : 70 - 73
  • [39] About a Generalization of Bell's Inequality
    V. M. González-Robles
    Foundations of Physics, 2003, 33 : 839 - 853
  • [40] Next generalization of Cirtoaje's inequality
    Matejicka, Ladislav
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,