Cebysev's Type Inequalities and Power Inequalities for the Berezin Number of Operators


Garayev M. T. , YAMANCI U.

FILOMAT, cilt.33, ss.2307-2316, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 33 Konu: 8
  • Basım Tarihi: 2019
  • Doi Numarası: 10.2298/fil1908307g
  • Dergi Adı: FILOMAT
  • Sayfa Sayıları: ss.2307-2316

Özet

We give operator analogues of some classical inequalities, including Cebysev type inequality for synchronous and convex functions of selfadjoint operators in Reproducing Kernel Hilbert Spaces (RKHSs). We obtain some Berezin number inequalities for the product of operators. Also, we prove the Berezin number inequality for the commutator of two operators.