New progress on refinements Young type‎ inequalities with Kantorovich constant

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].