Some results related to the Berezin number inequalities

Authors : Ulaş YAMANCI, Mübariz TAPDIGOĞLU

Pages : 1940-1952

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Publication Date : 0000-00-00

Article Type : Research Paper

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 $A^{\alpha}XB^{\alpha}$ and $A^{\alpha}XB^{1-\alpha}$ for the case when $0\leq\alpha\leq1$.
Keywords : Berezin number, positive operator, reproducing kernel Hilbert space, Berezin symbol, McCarthy inequality