On q-Berezin number inequalities in reproducing kernel Hilbert space
Filomat, cilt.39, sa.28, ss.10129-10140, 2025 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 39 Sayı: 28
- Basım Tarihi: 2025
- Doi Numarası: 10.2298/fil2528129s
- Dergi Adı: Filomat
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
- Sayfa Sayıları: ss.10129-10140
- Anahtar Kelimeler: Berezin number, Inequality, q-Berezin number, q-Berezin range, reproducing kernel Hilbert space
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
This work focuses on the classical Berezin number and the q-Berezin number of bounded linear operators on a reproducing kernel Hilbert space. In this study, we also present the q-Berezin transform, the q-Berezin interval, and the q-Berezin number of the reproducing kernel Hilbert space, as well as show various q-Berezin number inequalities that generalize prior inequalities provided with the standard Berezin number. Some other connected questions are also addressed.