| dc.creator |
SALTAN, Suna |
|
| dc.creator |
Baskan, Nazli |
|
| dc.date |
2023-01-01T00:00:00Z |
|
| dc.date.accessioned |
2025-02-25T10:35:34Z |
|
| dc.date.available |
2025-02-25T10:35:34Z |
|
| dc.identifier |
a53194f4-eae8-4d17-a8d1-c64ca7fca791 |
|
| dc.identifier |
10.31801/cfsuasmas.1089790 |
|
| dc.identifier |
https://avesis.sdu.edu.tr/publication/details/a53194f4-eae8-4d17-a8d1-c64ca7fca791/oai |
|
| dc.identifier.uri |
http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/100837 |
|
| dc.description |
The Berezin transform (A) over tilde and the Berezin number of an operator A on the reproducing kernel Hilbert space over some set Omega with normalized reproducing kernel (k) over cap (lambda) are defined, respectively, by (A) over tilde(lambda) = < A((k) over cap (lambda), (k) over cap (lambda)>, lambda is an element of Omega and ber(A) := sup(lambda is an element of Omega) |($) over tilde(lambda)|. A straightforward comparison between these characteristics yields the inequalities ber (A) <= 1/2 (||A||(ber) + ||A2||(1/2)(ber)). In this paper, we study further inequalities relating them. Namely, we obtained some refinements of Berezin number inequalities involving convex functions. In particular, for A is an element of B (H) and r >= 1 we show that |
|
| dc.language |
eng |
|
| dc.rights |
info:eu-repo/semantics/openAccess |
|
| dc.title |
SOME REFINEMENTS OF BEREZIN NUMBER INEQUALITIES VIA CONVEX FUNCTIONS |
|
| dc.type |
info:eu-repo/semantics/article |
|