Some classical inequalities and their applications
Filomat, cilt.35, sa.7, ss.2165-2173, 2021 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 35 Sayı: 7
- Basım Tarihi: 2021
- Doi Numarası: 10.2298/fil2107165h
- Dergi Adı: Filomat
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
- Sayfa Sayıları: ss.2165-2173
- Anahtar Kelimeler: Berezin number, Berezin symbol, Hölder-McCarthy type inequality, Quasi-paranormal operator, Reproducing kernel Hilbert space, Young type inequality
- Isparta Uygulamalı Bilimler Üniversitesi Adresli: Evet
Özet
In this paper, we define analogies of classical Hölder-McCarthy and Young type inequalities in terms of the Berezin symbols of operators on a reproducing kernel Hilbert space H = H (Ω) . These inequalities are applied in proving of some new inequalities for the Berezin number of operators. We also define quasi-paranormal and absolute-k-quasi paranormal operators and study their properties by using the Berezin symbols.