Improving upper bounds of Berezin number inequalities using convex function
Turkish Journal of Mathematics, cilt.49, sa.2, ss.201-220, 2025 (SCI-Expanded, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 49 Sayı: 2
- Basım Tarihi: 2025
- Doi Numarası: 10.55730/1300-0098.3583
- Dergi Adı: Turkish Journal of Mathematics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.201-220
- Anahtar Kelimeler: Berezin number, Bounded linear operator, convex function, Functional Hilbert space
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
In this research article, new upper bounds are established for the Berezin number of bounded linear operators within the context of functional Hilbert space using the convex function. These bounds are achieved by exploiting an extension of Furuta’s inequality and an extension of Kato’s inequality. These Berezin number bounds are refinements of already existing bounds found in the literature.