New progress on refinements Young type‎ inequalities with Kantorovich constant

نویسندگان
‎Shafiei, Ghodratolah ID 1
Feizi, Esmaeil ID 2

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

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

doi
10.22075/ijnaa.2024.33479.4991
چکیده

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].

کلیدواژه‌ها
‎Young Type Inequalities‎, ‎Hilbert-Schmidt‎, Norm (Frobinius)‎, ‎trace norm‎, ‎Positive‎ ‎Semidefinite Matrices‎, ‎Singular values‎, ‎Refinement