NEW UPPER BOUNDS RELATED TO THE BEREZIN NUMBER INEQUALITIES

HUBAN M. B., Başaran H., GÜRDAL M.

Journal of Inequalities and Special Functions, vol.12, no.3, pp.1-12, 2021 (ESCI, Scopus)

  • Publication Type: Article / Article
  • Volume: 12 Issue: 3
  • Publication Date: 2021
  • Journal Name: Journal of Inequalities and Special Functions
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.1-12
  • Keywords: Berezin number, Berezin symbol, bounded linear operator, inequality, numerical radius, reproducing kernel Hilbert space
  • Isparta University of Applied Sciences Affiliated: Yes

Abstract

The Berezin symbol à of an operator A on the reproducing kernel Hilbert space H (Ω) over some set Ω with the reproducing kernel Kλ is defined by