[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2006.43.5.911

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

Buse Constantin (Department of Mathematics West University of Timisoara)
Cerone Pietro (School of Computer Science and Mathematics Victoria University)
Dragomir Sever Silvestru (School of Computer Science and Mathematics Victoria University)
Roumeliotis John (School of Computer Science and Mathematics Victoria University)

Publication Information

Journal of the Korean Mathematical Society / v.43, no.5, 2006 , pp. 911-929 More about this Journal

Abstract

A refinement of $Gr\ddot{u}ss$ 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

$Gr\ddot{u}ss$ inequality; Bochner integral; Fourier transforms; Hilbert spaces;

Citations & Related Records

Times Cited By Web Of Science : 0 (Related Records In Web of Science)
Times Cited By SCOPUS : 0

Reference

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