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Buse Constantin,Cerone Pietro,Dragomir Sever Silvestru,Roumeliotis John Korean Mathematical Society 2006 대한수학회지 Vol.43 No.5
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.