Turkish Journal of Mathematics
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 $0\leq\alpha\leq1$.
DOI
10.3906/mat-1812-12
Keywords
Berezin number, positive operator, reproducing kernel Hilbert space, Berezin symbol, McCarthy inequality
First Page
1940
Last Page
1952
Recommended Citation
YAMANCI, U, & TAPDIGOĞLU, M (2019). Some results related to the Berezin number inequalities. Turkish Journal of Mathematics 43 (4): 1940-1952. https://doi.org/10.3906/mat-1812-12
