
A refinement of Gruss 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.
Hilbert spaces, 500, ResPubID10923, Bochner integral, 0101 Pure Mathematics, Fourier transforms, 510, Research Group in Mathematical Inequalities and Applications (RGMIA), 0199 Other Mathematical Sciences Information Systems, Gruss inequality, Grüss inequality, School of Engineering and Science
Hilbert spaces, 500, ResPubID10923, Bochner integral, 0101 Pure Mathematics, Fourier transforms, 510, Research Group in Mathematical Inequalities and Applications (RGMIA), 0199 Other Mathematical Sciences Information Systems, Gruss inequality, Grüss inequality, School of Engineering and Science
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