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J. Korean Math. Soc. 2006; 43(5): 911-929
Printed September 1, 2006
Copyright © The Korean Mathematical Society.
A refinement of Gruss type inequality for the Bochner integral of vector-valued functions in Hilbert spaces and applications
C. Bucse, P. Cerone, S. S. Dragomir, and J. Roumeliotis
West University of Timisoara, Victoria University, Victoria University, Victoria University
A refinement of Gr\"{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: Gruss inequality, Bochner integral, Fourier transforms, Hilbert spaces
MSC numbers: 46C05, 26D15, 26D10
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