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

Autor:	Ulaş Yamancı, T Mubariz Garayev
Rok vydání:	2019
Předmět:	Power (social and political) Algebra Inequality Mathematics::Operator Algebras General Mathematics media_common.quotation_subject Mathematics::Spectral Theory media_common Mathematics
Zdroj:	Filomat. 33:2307-2316
ISSN:	2406-0933 0354-5180
DOI:	10.2298/fil1908307g
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::c4f7ba406730c460ce743b8bc90dd2c3 https://doi.org/10.2298/fil1908307g Zobrazit plný text záznamu