New estimations for the Berezin number inequality

Bakherad M., YAMANCI U.

JOURNAL OF INEQUALITIES AND APPLICATIONS, vol.2020, no.1, 2020 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2020 Issue: 1
  • Publication Date: 2020
  • Doi Number: 10.1186/s13660-020-2307-0
  • Title of Journal : JOURNAL OF INEQUALITIES AND APPLICATIONS

Abstract

In this paper, by the definition of Berezin number, we present some inequalities involving the operator geometric mean. For instance, it is shown that if X, Y,Z E r(7-{) such that X and Y are positive operators, then