Reverses of Young Type Inequalities for Matrices Using the Classical Kantorovich Constant

Abstract

In this article, we give some reverses of Young type inequalities which were established by Burqan and Khandaqji (J Math Inequal 9:113–120, 2015) applying the Kantorovich constant. As an application of these numerical versions, we study some matrix inequalities for the Hilbert–Schmidt norm and the trace norm.