Improved Cauchy-Schwarz Inequality for Matrices

Huang Hong

Abstract: In this paper, using Hermite-Hadamard Integral Inequality we give an improvement of the matrix Cauchy-Schwarz inequality which was due to Bhatia and Davis in [5], and also obtain a further improvement of a refined matrix Cauchy-Schwarz inequality which was due to Ali et al. in [2].

Keywords: Unitarily invariant norms, Cauchy- Schwarz inequality, Hermite-Hadamard Integral Inequality, Positive semidefinite

Edition: Volume 7 Issue 4, April 2018,

Pages: 625 - 627

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Improved Cauchy-Schwarz Inequality for Matrices

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