Turkish Journal of Mathematics
DOI
10.3906/mat-1812-12
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
First Page
1940
Last Page
1952
Recommended Citation
YAMANCI, ULAŞ and TAPDIGOĞLU, MÜBARİZ
(2019)
"Some results related to the Berezin number inequalities,"
Turkish Journal of Mathematics: Vol. 43:
No.
4, Article 10.
https://doi.org/10.3906/mat-1812-12
Available at:
https://journals.tubitak.gov.tr/math/vol43/iss4/10
