Refinements of Kantorovich type, Schwarz and Berezin number inequalitie

• M. Garaye ^[1] ; F. Bouzeffou ^[1] ; M. Gurda ^[2] ; C.M. Yango ^[2]
  1. [1] King Saud University

     King Saud University

     Arabia Saudí

     
  2. [2] Suleyman Demirel University, Department of Mathematics, 32260, Isparta, Turke
• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 35, Nº 1, 2020, págs. 1-20
• Idioma: inglés
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• Resumen

  • In this article, we use Kantorovich and Kantorovich type inequalities in order to prove some new Berezin number inequalities. Also, by using a refinement of the classical Schwarz inequality, we prove Berezin number inequalities for powers of f(A), where A is self-adjoint operator on the Hardy space H2 (D) and f is a positive continuous function. Some related questions are also discussed.