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ISSN : 1226-0657

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Vol.25 No.1
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SOME OPERATOR INEQUALITIES INVOLVING IMPROVED YOUNG AND HEINZ INEQUALITIES

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2018, v.25 no.1, pp.39-48
https://doi.org/10.7468/jksmeb.2018.25.1.39
Moazzen, Alireza
Moazzen,, A. (2018). SOME OPERATOR INEQUALITIES INVOLVING IMPROVED YOUNG AND HEINZ INEQUALITIES. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 25(1), 39-48, https://doi.org/10.7468/jksmeb.2018.25.1.39
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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

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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