New progress on refinements Young type‎ inequalities with Kantorovich constant

‎Shafiei, Ghodratolah; Feizi, Esmaeil

doi:10.22075/ijnaa.2024.33479.4991

New progress on refinements Young type‎ inequalities with Kantorovich constant

Document Type : Research Paper

Authors

Ghodratolah ‎Shafiei

Esmaeil Feizi

Department of Mathematics‎, Faculty of Science, ‎Bu-Ali Sina University‎, ‎Hamedan‎, ‎Iran

10.22075/ijnaa.2024.33479.4991

Abstract

In this article‎, ‎we introduce refinements of Young-type inequalities for scalars‎. ‎We then extend these inequalities to encompass versions based on Hilbert-Schmidt and trace norms‎. ‎The results presented in this paper represent refinements of the findings originally established by Nasiri and Shakoori [6].

Keywords

‎Young Type Inequalities‎

‎Hilbert-Schmidt‎

Norm (Frobinius)‎

‎trace norm‎

‎Positive‎ ‎Semidefinite Matrices‎

‎Singular Values‎

‎Refinement

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