Refinement of Berezin number inequalities with Kantorovich ratio

H. Başaran, M. Gürdal

We construct Berezin number inequalities for Hilbert space operators using the notion of Kantorovich ratio and increasing convex function in this study. Also, we present new results related to Berezin number inequality. We give the Berezin number inequality by using operator version of improvement of arithmetic-geometric mean inequality. 

Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 16,  supplement issue 4 (2023), pp. 21-33