Some results related to the Berezin number inequalities

Some results related to the Berezin number inequalities

In this paper, we prove reverse inequalities for the so-called Berezin number of some operators. Also, by usingthe 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 $0leq aleq1$.

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