Some Bessel type additive inequalities in inner product spaces

被引:0
|
作者
Dragomir, Silvestru Sever [1 ]
机构
[1] Victoria Univ, Coll Engn & Sci, Math, POB 14428, Melbourne, MC 8001, Australia
来源
关键词
Inner product spaces; Bessel's inequality; Schwarz's inequality;
D O I
10.24193/subbmath.2021.2.13
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we obtain some additive inequalities related to the celebrated Bessel's inequality in inner product spaces. They complement the results obtained by Boas-Bellman, Bombieri, Selberg and Heilbronn, which have been applied for almost orthogonal series and in Number Theory.
引用
收藏
页码:381 / 395
页数:15
相关论文
共 50 条
  • [1] Bessel type inequalities for non-orthonormal families of vectors in inner product spaces
    Dragomir, Sever S.
    [J]. RIVISTA DI MATEMATICA DELLA UNIVERSITA DI PARMA, 2006, 5 : 93 - 102
  • [2] On Bessel and Gruss inequalities for orthornormal families in inner product spaces
    Dragomir, SS
    [J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2004, 69 (02) : 327 - 340
  • [3] SOME CHARACTERIZATIONS OF INNER PRODUCT SPACES BY INEQUALITIES
    Marinescu, Dan Stefan
    Monea, Mihai
    Stroe, Marian
    [J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2015, 18 (04): : 1375 - 1385
  • [4] On reverse Schwarz, Bessel, Gruss and Hadamard inequalities in inner product spaces
    Otachel, Zdzislaw
    [J]. LINEAR & MULTILINEAR ALGEBRA, 2020, 68 (04): : 805 - 827
  • [5] Some inequalities in 2-inner product spaces
    Cho, YJ
    Dragomir, SS
    White, A
    Kim, SS
    [J]. FIXED POINT THEORY AND APPLICATIONS-BOOK, 2000, : 145 - 155
  • [6] Bessel- and Gruss-type inequalities in inner product modules
    Banic, Senka
    Ilisevic, Dijana
    Varosanec, Sanja
    [J]. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2007, 50 : 23 - 36
  • [7] Some Pecaric's type inequalities in 2-inner product spaces and applications
    Cho, Y. J.
    Dragomir, S. S.
    Lin, C. -S.
    Kim, S. S.
    Kim, Y. -H.
    [J]. TAIWANESE JOURNAL OF MATHEMATICS, 2008, 12 (02): : 357 - 372
  • [8] SOME CHARACTERIZATIONS OF INNER PRODUCT SPACES VIA SOME GEOMETRICAL INEQUALITIES
    Stefan, Marinescu Dan
    Mihai, Monea
    Cristinel, Mortici
    [J]. APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2017, 11 (02) : 424 - 433
  • [9] SOME RESULTS RELATED TO BESSEL'S INEQUALITY IN INNER PRODUCT SPACES
    Dragomir, Silvestru Sever
    Elmursi, Mohamed
    [J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2019, 13 (01): : 205 - 214
  • [10] Reverse Schwarz inequalities and some consequences in inner product spaces
    Otachel, Zdzislaw
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 458 (02) : 1409 - 1426