On ideal summability and a Korovkin type approximation theorem

dc.contributor.author	Hazarika, Bipan
dc.contributor.author	Esi, Ayhan
dc.date.accessioned	2025-02-17T10:41:28Z
dc.date.available	2025-02-17T10:41:28Z
dc.date.issued	2019
dc.identifier.issn	0971-3611
dc.identifier.uri	http://dspace.adiyaman.edu.tr:8080/xmlui/handle/20.500.12414/5820
dc.description.abstract	In this paper, we define and study the notion of I lambda -convergence as a variant of the notion of ideal convergence, where lambda=(lambda n) is a nondecreasing sequence of positive real numbers such that lambda n+1 <= lambda n+1,lambda 1=1,lambda n -> infinity (n -> infinity). We further apply this notion of summability to prove a Korovkin type approximation theorem.	tr
dc.language.iso	en	tr
dc.publisher	SPRINGERNATURE	tr
dc.subject	Ideal-convergence	tr
dc.subject	de la Vallee-Poussin mean	tr
dc.subject	Positive linear operator	tr
dc.subject	The Korovkin theorem	tr
dc.subject	40G15	tr
dc.subject	40A99	tr
dc.subject	41A10	tr
dc.subject	41A25	tr
dc.title	On ideal summability and a Korovkin type approximation theorem	tr
dc.type	Article	tr
dc.contributor.authorID	0000-0002-0644-0600	tr
dc.contributor.authorID	0000-0003-3137-3865	tr
dc.contributor.department	Rajiv Gandhi Univ, Dept Math,	tr
dc.contributor.department	Adiyaman Univ, Dept Math Sci & Art Fac,	tr
dc.identifier.endpage	1161	tr
dc.identifier.issue	4	tr
dc.identifier.startpage	1151	tr
dc.identifier.volume	27	tr
dc.source.title	JOURNAL OF ANALYSIS	tr