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

Buşe, Constantin and Cerone, Pietro and 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).

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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
Uncontrolled Keywords: Grüss inequality, Bochner integral, Fourier transforms, Hilbert spaces
Subjects: FOR Classification > 0101 Pure Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 18 Jul 2012 23:31
Last Modified: 23 May 2013 16:49
URI: http://vuir.vu.edu.au/id/eprint/17180
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