A REFINEMENT OF GRÜSS TYPE INEQUALITY FOR THE BOCHNER INTEGRAL OF VECTOR-VALUED FUNCTIONS IN HILBERT SPACES AND APPLICATIONS

Title & Authors
A REFINEMENT OF GRÜSS TYPE INEQUALITY FOR THE BOCHNER INTEGRAL OF VECTOR-VALUED FUNCTIONS IN HILBERT SPACES AND APPLICATIONS
Buse Constantin; Cerone Pietro; Dragomir Sever Silvestru; Roumeliotis John;

Abstract
A refinement of $\small{Gr\ddot{u}ss}$ 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 inequalities are provided.
Keywords
$\small{Gr\ddot{u}ss}$ inequality;Bochner integral;Fourier transforms;Hilbert spaces;
Language
English
Cited by
References
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