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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.25 No.1

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SOME OPERATOR INEQUALITIES INVOLVING IMPROVED YOUNG AND HEINZ INEQUALITIES

SOME OPERATOR INEQUALITIES INVOLVING IMPROVED YOUNG AND HEINZ INEQUALITIES

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2018, v.25 no.1, pp.39-48
https://doi.org/10.7468/jksmeb.2018.25.1.39
Moazzen, Alireza (Department of mathematics, Kosar University of Bojnord)
Moazzen, Alireza. (2018). SOME OPERATOR INEQUALITIES INVOLVING IMPROVED YOUNG AND HEINZ INEQUALITIES. , 25(1), 39-48, https://doi.org/10.7468/jksmeb.2018.25.1.39

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

한국수학교육학회지시리즈B:순수및응용수학

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