A Refinement of Grüss Type Inequality for the Bochner Integral of Vector-Valued Functions in Hilbert Spaces and Applications

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Buşe, Constantin, Cerone, Pietro, Dragomir, Sever S and Roumeliotis, John (2004) A Refinement of Grüss Type Inequality for the Bochner Integral of Vector-Valued Functions in Hilbert Spaces and Applications. Research report collection, 7 (3).

Abstract

A refinement of Grüss type inequality for the Bochner integral of vector-valued functions in real or complex Hilbert spaces is given. Related results are obtained. Application for finite Fourier transforms of vector-valued functions and some particular inequalitites are provided.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17180
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords Grüss inequality, Bochner integral, Fourier transforms, Hilbert spaces
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