Almost A-statistical convergence and approximation theorems

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dc.contributor.authorDemirci, Kamil
dc.contributor.authorDirik, Fadime
dc.contributor.authorYildiz, Sevda
dc.date.accessioned2026-04-25T14:20:24Z
dc.date.available2026-04-25T14:20:24Z
dc.date.issued2025
dc.departmentSinop Üniversitesi
dc.description.abstractIn this paper, we define almost A-statistical convergence via almost regular matrices, which extend the notion of regular matrices, and find its relationship with almost A-summability. Then we study its use in a Korovkin-type approximation theorem. We also construct an example such that our new result works but its classical and statistical versions do not work and a figure will be presented to support our result. Finally, we compute the corresponding rate of almost A-statistical convergence of positive linear operators in two different ways, we have newly defined.
dc.identifier.doi10.2298/FIL2523117D
dc.identifier.endpage8128
dc.identifier.issn0354-5180
dc.identifier.issue23
dc.identifier.orcid0000-0002-4730-2271
dc.identifier.scopus2-s2.0-105020818103
dc.identifier.scopusqualityQ2
dc.identifier.startpage8117
dc.identifier.urihttps://doi.org/10.2298/FIL2523117D
dc.identifier.urihttps://hdl.handle.net/11486/8547
dc.identifier.volume39
dc.identifier.wosWOS:001629603400001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherUniv Nis, Fac Sci Math
dc.relation.ispartofFilomat
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20260420
dc.subjectAlmost convergence
dc.subjectstatistical convergence
dc.subjectKorovkin type-approximation
dc.subjectrate of convergence
dc.subjectalmost regular matrix
dc.titleAlmost A-statistical convergence and approximation theorems
dc.typeArticle

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