operators. Also, by using the classical Jensen and Young inequalities, we obtain upper bounds for Berezin number of $ A^{\alpha} XB^{\alpha} $ and $ A^{\alpha} XB^{1-\alpha} $ for the case when $0\leq\alpha\leq1 $.
Abstract
In this paper, we prove reverse inequalities for the so-called Berezin number of some operators. Also, by using the classical Jensen and Young inequalities, we obtain upper bounds for Berezin number of and for the case when .