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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
  • DOI: 10.17398/2605-5686.35.1.1
  • Enlaces
  • 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.

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