A Counterpart of Bessel’s Inequality in Inner Product Spaces and Some Grüss Type Related Results

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Dragomir, Sever S (2003) A Counterpart of Bessel’s Inequality in Inner Product Spaces and Some Grüss Type Related Results. RGMIA research report collection, 6 (Supp).

Abstract

A counterpart of the famous Bessel’s inequality for orthornormal families in real or complex inner product spaces is given. Applications for some Grüss type inequalities are also provided.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/18126
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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