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Improved Cauchy-Schwarz Inequality for Matrices
Journal: International Journal of Science and Research (IJSR) (Vol.7, No. 4)Publication Date: 2018-04-05
Authors : Huang Hong;
Page : 625-627
Keywords : Unitarily invariant norms; Cauchy- Schwarz inequality; Hermite-Hadamard Integral Inequality; Positive semidefinite;
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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].
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