Geodesic
Some inequality and Berezin number type inequalities
Gurdal, M.1 ; Stojiljkovic, V.2
1 Department of Mathematics, ‎Suleyman Demirel University, ‎32260‎, ‎Isparta, Turkey
2 Faculty of Science, ‎University of Novi Sad, ‎Trg Dositeja Obradovica 3, ‎21000 Novi Sad, ‎Serbia
Journal of nonlinear sciences and its applications, Tome 17 (2024) no. 4, p. 180-190.

Voir la notice de l'article provenant de la source International Scientific Research Publications

‎In this paper‎, ‎we establish upper bounds that both extend and enhance known‎ ‎inequalities for the Berezin number of bounded linear operators and product of‎ ‎operators‎. ‎In particular‎, ‎this paper aims to establish new upper bounds on the Berezin number for operators on functional Hilbert spaces by introducing important improvements to the Buzano inequality‎. ‎Lastly‎, ‎a few associated‎ ‎upper bounds are also given‎. ‎
DOI : 10.22436/jnsa.017.04.02
Classification : 47A30, 47B63
Keywords: Berezin norm, Berezin number, inequalities

Gurdal, M. 1 ; Stojiljkovic, V. 2

1 Department of Mathematics, ‎Suleyman Demirel University, ‎32260‎, ‎Isparta, Turkey
2 Faculty of Science, ‎University of Novi Sad, ‎Trg Dositeja Obradovica 3, ‎21000 Novi Sad, ‎Serbia 
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Gurdal, M.; Stojiljkovic, V. Some inequality and Berezin number type inequalities. Journal of nonlinear sciences and its applications, Tome 17 (2024) no. 4, p. 180-190. doi : 10.22436/jnsa.017.04.02. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.017.04.02/

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