Berezin Number, Grüss-Type Inequalities and Their Applications

YAMANCI, Ulaş; TUNÇ, Remziye; GÜRDAL, Mehmet

doi:10.1007/s40840-019-00804-x

Berezin Number, Grüss-Type Inequalities and Their Applications

YAMANCI U., TUNÇ R., GÜRDAL M.

Bulletin of the Malaysian Mathematical Sciences Society, cilt.43, ss.2287-2296, 2020 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 43
Basım Tarihi: 2020
Doi Numarası: 10.1007/s40840-019-00804-x
Dergi Adı: Bulletin of the Malaysian Mathematical Sciences Society
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
Sayfa Sayıları: ss.2287-2296
Anahtar Kelimeler: Berezin number, Berezin symbol, Selfadjoint operators, Gruss inequality, KERNEL HILBERT-SPACE, NUMERICAL RADIUS, OPERATORS
Süleyman Demirel Üniversitesi Adresli: Evet

Özet

In this paper, we study the Berezin number inequalities by using the transform C alpha,beta on reproducing kernel Hilbert spaces (RKHS). Moreover, we give Gruss-type inequalities for selfadjoint operators in RKHS.