On Bessel and Grüss Inequalities for Orthornormal Families in Inner Product Spaces

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Dragomir, Sever S (2003) On Bessel and Grüss Inequalities for Orthornormal Families in Inner Product Spaces. RGMIA research report collection, 6 (Supp).

Abstract

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

Item type Article
URI https://vuir.vu.edu.au/id/eprint/18124
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords Bessel’s inequality, Grüss’ inequality, inner product, Lebesgue integral
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