Some Classical Inequalities and their Applications

Creative Commons License

Huban M. B., GÜRDAL M., Tilki H.

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: Reproducing kernel Hilbert space, Berezin symbol, Berezin number, quasi-paranormal operator, Holder-McCarthy type inequality, Young type inequality, NUMERICAL RADIUS INEQUALITIES, BEREZIN NUMBER INEQUALITIES, HOLDER-MCCARTHY, SYMBOLS
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Süleyman Demirel Üniversitesi Adresli: Evet

Özet

In this paper, we define analogies of classical Holder-McCarthy and Young type inequalities in terms of the Berezin symbols of operators on a reproducing kernel Hilbert space H = H (Omega). 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.