Statistical approximation to Bogel-type continuous and periodic functions

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dc.authoridDemirci, Kamil/0000-0002-5976-9768
dc.authoriddirik, fadime/0000-0002-9316-9037
dc.authoridDuman, Oktay/0000-0001-7779-6877
dc.contributor.authorDirik, Fadime
dc.contributor.authorDuman, Oktay
dc.contributor.authorDemirci, Kamil
dc.date.accessioned2025-03-23T19:27:00Z
dc.date.available2025-03-23T19:27:00Z
dc.date.issued2009
dc.departmentSinop Üniversitesi
dc.description.abstractIn this paper, considering A-statistical convergence instead of Pringsheim's sense for double sequences, we prove a Korovkin-type approximation theorem for sequences of positive linear operators defined on the space of all real valued Bogel-type continuous and periodic functions on the whole real two-dimensional space. A strong application is also presented. Furthermore, we obtain some rates of A-statistical convergence in our approximation.
dc.identifier.doi10.2478/s11533-009-0025-4
dc.identifier.endpage549
dc.identifier.issn1895-1074
dc.identifier.issn1644-3616
dc.identifier.issue3
dc.identifier.scopus2-s2.0-69349105455
dc.identifier.scopusqualityN/A
dc.identifier.startpage539
dc.identifier.urihttps://doi.org/10.2478/s11533-009-0025-4
dc.identifier.urihttps://hdl.handle.net/11486/4812
dc.identifier.volume7
dc.identifier.wosWOS:000268900800016
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherDe Gruyter Poland Sp Zoo
dc.relation.ispartofCentral European Journal of Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20250323
dc.subjectThe Korovkin theorem
dc.subjectB-continuous functions
dc.subjectB-2 pi-periodic functions
dc.subjectA-statistical convergence for double sequences
dc.subjectRegularity for double sequences
dc.titleStatistical approximation to Bogel-type continuous and periodic functions
dc.typeArticle

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