Inequalities Of Hardy-Hilbert Type For Berezin Number Of Operators And Their Applications


YAMANCI U., Uslu D.

Applied Mathematics E - Notes, cilt.25, ss.126-133, 2025 (ESCI, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25
  • Basım Tarihi: 2025
  • Dergi Adı: Applied Mathematics E - Notes
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Sayfa Sayıları: ss.126-133
  • Süleyman Demirel Üniversitesi Adresli: Evet

Özet

In this paper, we study Berezin number inequalities by using Hardy-Hilbert type inequality for self-adjoint operator in reproducing kernel Hilbert spaces. Also, we give an inequality for the Berezin symbol of self-adjoint operators in a reproducing kernel Hilbert space H = H (Θ). These results essentially improve and extend the most known results on this topic including some results.