Berezin Number Inequality for Convex Function in Reproducing Kernel Hilbert Space

YAMANCI, Ulaş; GÜRDAL, Mehmet; Garayev, Mubariz

doi:10.2298/fil1718711y

Berezin Number Inequality for Convex Function in Reproducing Kernel Hilbert Space

YAMANCI U., GÜRDAL M., Garayev M. T.

FILOMAT, cilt.31, sa.18, ss.5711-5717, 2017 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 31 Sayı: 18
Basım Tarihi: 2017
Doi Numarası: 10.2298/fil1718711y
Dergi Adı: FILOMAT
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.5711-5717
Anahtar Kelimeler: Numerical radius, Hardy-Hilbert's inequality, Berezin number, self-adjoint operator, convex function, NUMERICAL RADIUS INEQUALITIES, NONCOMMUTATIVE HARDY, OPERATORS
Süleyman Demirel Üniversitesi Adresli: Evet

Özet

By using Hardy-Hilbert's inequality, some power inequalities for the Berezin number of a self-adjoint operators in Reproducing Kernel Hilbert Spaces (RKHSs) with applications for convex functions are given.