Cebysev’s type inequalities and power inequalities for the Berezin number of operators | Zendy

Mübariz Garayev | Zendy; Ulaş Yamancı | Zendy

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Cebysev’s type inequalities and power inequalities for the Berezin number of operators

Author(s) -

Mübariz Garayev,

Ulaş Yamancı

Publication year - 2019

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1908307g

Subject(s) - mathematics , commutator , pure mathematics , inequality , hilbert space , type (biology) , kernel (algebra) , operator (biology) , regular polygon , algebra over a field , mathematical analysis , geometry , ecology , biochemistry , chemistry , lie conformal algebra , repressor , gene , transcription factor , biology

We give operator analogues of some classical inequalities, including Čebyšev 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.

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