Some classical inequalities and their applications

HUBAN M. B., GÜRDAL M., Tilki H.

Filomat, cilt.35, sa.7, ss.2165-2173, 2021 (SCI-Expanded, Scopus) identifier

  • 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.