On numerical radius and Berezin number inequalities for reproducing kernel Hilbert space
NEW YORK JOURNAL OF MATHEMATICS, cilt.23, ss.1531-1537, 2017 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 23
- Basım Tarihi: 2017
- Dergi Adı: NEW YORK JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1531-1537
- Anahtar Kelimeler: Hardy-Hilbert type inequalities, Berezin number, numerical radius, positive operator, OPERATORS
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
The fundamental inequality w (A(n)) <= w(n) (A), (n = 1; 2, ...) for the numerical radius is much studied in the literature. But the inverse inequalities for the numerical radius are not well known. By using Hardy-Hilbert type inequalities, we give inverse numerical radius inequalities for reproducing kernel Hilbert spaces. Also, we obtain inverse power inequalities for the Berezin number of an operator.