berezin inequalities for sums of operators and classical inequalities concerning the berezin radius

Introduction/purpose: in this article, the author's goal is to seek to obtain new inequalities of the berezin type. methods: the methods used are standard for operator theory. results: various inequalities of the type given by huban et al. and erkan have been obtained. conclusions: in addition to obtaining various inequalities of the form given by huban et al. and erkan in particular, the authors sharpened the inequalities related to the berezin norm.