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

  • Published : 2006.09.30

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

References

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  1. A Grüss type inequality for vector-valued functions in Hilbert C ∗ -modules vol.2014, pp.1, 2014, https://doi.org/10.1186/1029-242X-2014-16