SOME NEW RESULTS RELATED TO BESSEL AND GRUSS INEQUALITIES IN 2-INNER PRODUCT SPACES AND APPLICATIONS
Author(s) -
Sever S Dragomir,
Y.J. Cho,
Sung-Soo Kim
Publication year - 2005
Publication title -
bulletin of the korean mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.295
H-Index - 27
eISSN - 2234-3016
pISSN - 1015-8634
DOI - 10.4134/bkms.2005.42.3.591
Subject(s) - mathematics , inner product space , bessel function , orthonormal basis , inequality , product (mathematics) , type (biology) , pure mathematics , bessel polynomials , algebra over a field , mathematical analysis , geometry , orthogonal polynomials , ecology , biology , macdonald polynomials , physics , quantum mechanics , difference polynomials
Some new reverses of Bessel's inequality for orthonormal families in real or complex inner product spaces are pointed out. Applications for some Gruss type inequalities and for determinantal integral inequalities are given as well.
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