Cebysev's Type Inequalities and Power Inequalities for the Berezin Number of Operators
FILOMAT, cilt.33, sa.8, ss.2307-2316, 2019 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 33 Sayı: 8
- Basım Tarihi: 2019
- Doi Numarası: 10.2298/fil1908307g
- Dergi Adı: FILOMAT
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.2307-2316
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
We give operator analogues of some classical inequalities, including Cebysev type inequality for synchronous and convex functions of selfadjoint operators in Reproducing Kernel Hilbert Spaces (RKHSs). We obtain some Berezin number inequalities for the product of operators. Also, we prove the Berezin number inequality for the commutator of two operators.