Convergence of generalized sampling series in weighted spaces

Autor:	Acar Tuncer, Alagöz Osman, Aral Ali, Costarelli Danilo, Turgay Metin, Vinti Gianluca
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	generalized sampling operators weighted spaces weighted modulus of continuity voronovskaja-type theorem quantitative order of approximation 41a25 41a35 Mathematics QA1-939
Zdroj:	Demonstratio Mathematica, Vol 55, Iss 1, Pp 153-162 (2022)
Druh dokumentu:	article
ISSN:	2391-4661 2022-0014
DOI:	10.1515/dema-2022-0014
Popis:	The present paper deals with an extension of approximation properties of generalized sampling series to weighted spaces of functions. A pointwise and uniform convergence theorem for the series is proved for functions belonging to weighted spaces. A rate of convergence by means of weighted moduli of continuity is presented and a quantitative Voronovskaja-type theorem is obtained.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/e78b8068e2d542e79e898920d0299649 Zobrazit plný text záznamu View record in DOAJ