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On Bessel's and Grüss' Inequalities for Orthornormal Families in 2-Inner Product Spaces and Applications

Dragomir, Sever S, Cho, Yeol Je, Kim, Seong Sik and Kim, Young-Ho (2003) On Bessel's and Grüss' Inequalities for Orthornormal Families in 2-Inner Product Spaces and Applications. RGMIA research report collection, 6 (4).

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Abstract

A new counterpart of Bessel’s inequality for orthornormal families in real or complex 2-inner product spaces is obtained. Applications for some Grüss type results with applications for determinantal integral inequalities are also provided.

Item Type: Article
Uncontrolled Keywords: Bessel’s inequality, Grüss’ inequality, 2-Inner product spaces, Lebesgue integral, synchronous functions
Subjects: FOR Classification > 0102 Applied Mathematics
FOR Classification > 0103 Numerical and Computational Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 28 Aug 2012 07:31
Last Modified: 23 May 2013 16:53
URI: http://vuir.vu.edu.au/id/eprint/17856
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