New estimations for the Berezin number inequality
JOURNAL OF INEQUALITIES AND APPLICATIONS, cilt.2020, sa.1, 2020 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 2020 Sayı: 1
- Basım Tarihi: 2020
- Doi Numarası: 10.1186/s13660-020-2307-0
- Dergi Adı: JOURNAL OF INEQUALITIES AND APPLICATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
- Anahtar Kelimeler: Inequalities, Berezin number, Berezin symbol, Geometric mean, OPERATORS
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
In this paper, by the definition of Berezin number, we present some inequalities involving the operator geometric mean. For instance, it is shown that if X, Y,Z E r(7-{) such that X and Y are positive operators, then