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http://dx.doi.org/10.7468/jksmeb.2018.25.1.39

SOME OPERATOR INEQUALITIES INVOLVING IMPROVED YOUNG AND HEINZ INEQUALITIES  

Moazzen, Alireza (Department of mathematics, Kosar University of Bojnord)
Publication Information
The Pure and Applied Mathematics / v.25, no.1, 2018 , pp. 39-48 More about this Journal
Abstract
In this work, by applying the binomial expansion, some refinements of the Young and Heinz inequalities are proved. As an application, a determinant inequality for positive definite matrices is obtained. Also, some operator inequalities around the Young's inequality for semidefinite invertible matrices are proved.
Keywords
operator inequality; Young's inequality; Heinz's inequality;
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