Resumen de Refinements of Kantorovich type, Schwarz and Berezin number inequalitie

M. Garayev, Fethi Bouzeffour, Mehmet Gürdal, C.M. Yangoz

• 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.