Abstract
Abstract The aim of this study is to obtain several inequalities involving the Berezin number and the Berezin norm for various combinations of operators acting on a reproducing kernel Hilbert space. First, we present some bounds regarding the Berezin number associated with W * Q + W * Q ′ {W}^{* }Q+{W}^{* }Q^{\prime} , where W W , Q Q , and Q ′ Q^{\prime} are three bounded linear operators. Next, several Berezin norm and Berezin number inequalities for the sum of n n operators are established.
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