Improving the superadditivity of some determinantal matrix maps

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Published: Jan 25, 2025
DOI: https://doi.org/10.13001/ela.2025.8941
Keywords:
Positive definite matrix, Minkowski's determinant inequality, Fan's determinant inequality, Yuan and Leng's inequality.

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Marek Niezgoda
Pedagogical University of Cracow (Poland)
https://orcid.org/0000-0003-0730-2960

Abstract

In this note, a generalization by Yuan and Leng of Minkowski's determinant inequality is improved. An interpolation of the Yuan and Leng's inequality is shown by using the negativity of some related functional. Some refined versions of Minkowski's inequality and of Ky Fan's inequality are presented.

Article Details

Issue
Vol. 41 (2025)
Section
Article