The uniform convergence of a double sequence of functions at a point and Korovkin-type approximation theorems

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dc.authoridAcu, Ana Maria/0000-0003-1192-2281
dc.authoriddirik, fadime/0000-0002-9316-9037
dc.authoridYILDIZ, Sevda/0000-0002-4730-2271
dc.authoridDemirci, Kamil/0000-0002-5976-9768
dc.contributor.authorDirik, Fadime
dc.contributor.authorDemirci, Kamil
dc.contributor.authorYildiz, Sevda
dc.contributor.authorAcu, Ana Maria
dc.date.accessioned2025-03-23T19:30:16Z
dc.date.available2025-03-23T19:30:16Z
dc.date.issued2021
dc.departmentSinop Üniversitesi
dc.description.abstractIn this paper, we introduce an interesting kind of convergence for a double sequence called the uniform convergence at a point. We give an example and demonstrate a Korovkin-type approximation theorem for a double sequence of functions using the uniform convergence at a point. Then we show that our result is stronger than the Korovkin theorem given by Volkov and present several graphs. Finally, in the last section, we compute the rate of convergence.
dc.description.sponsorshipSinop University Scientific Research Projects Coordination Unit [FEF-1901-18-15]
dc.description.sponsorshipThis research has been supported by Sinop University Scientific Research Projects Coordination Unit, project number FEF-1901-18-15.
dc.identifier.doi10.1515/gmj-2020-2075
dc.identifier.endpage573
dc.identifier.issn1072-947X
dc.identifier.issn1572-9176
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85095424350
dc.identifier.scopusqualityQ2
dc.identifier.startpage567
dc.identifier.urihttps://doi.org/10.1515/gmj-2020-2075
dc.identifier.urihttps://hdl.handle.net/11486/5057
dc.identifier.volume28
dc.identifier.wosWOS:000680666200006
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWalter De Gruyter Gmbh
dc.relation.ispartofGeorgian Mathematical Journal
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20250323
dc.subjectKorovkin theorem
dc.subjectrate of convergence
dc.subjectdouble sequence
dc.subjectuniform convergence at a point
dc.titleThe uniform convergence of a double sequence of functions at a point and Korovkin-type approximation theorems
dc.typeArticle

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