Approximation via Statistical Convergence in the Sense of Power Series Method of Bogel-Type Continuous Functions

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dc.authoridYILDIZ, Sevda/0000-0002-4730-2271
dc.authoriddirik, fadime/0000-0002-9316-9037
dc.contributor.authorDemirci, K.
dc.contributor.authorYildiz, S.
dc.contributor.authorDirik, F.
dc.date.accessioned2025-03-23T19:31:37Z
dc.date.available2025-03-23T19:31:37Z
dc.date.issued2022
dc.departmentSinop Üniversitesi
dc.description.abstractIn this paper, we study Korovkin-type approximation for double sequences of positive linear operators defined on the space of all real valued B-continuous functions via the notion of statistical convergence in the sense of power series methods instead of Pringsheim convergence.We present an interesting application that satisfies our new approximation theorem which wasn'tsatisfied the one studied before. In addition, we derive the rate of convergence of the proposed approximation theorem. Finally, we give a conclusion for periodic functions.
dc.identifier.doi10.1134/S1995080222120095
dc.identifier.endpage2432
dc.identifier.issn1995-0802
dc.identifier.issn1818-9962
dc.identifier.issue9
dc.identifier.scopus2-s2.0-85145241719
dc.identifier.scopusqualityQ2
dc.identifier.startpage2423
dc.identifier.urihttps://doi.org/10.1134/S1995080222120095
dc.identifier.urihttps://hdl.handle.net/11486/5318
dc.identifier.volume43
dc.identifier.wosWOS:000905079800008
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMaik Nauka/Interperiodica/Springer
dc.relation.ispartofLobachevskii Journal of Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20250323
dc.subjectKorovkin theorem
dc.subjectPr-statistical convergence
dc.subjectdouble sequences
dc.subjectB-continuity
dc.subjectpositive linear operator
dc.titleApproximation via Statistical Convergence in the Sense of Power Series Method of Bogel-Type Continuous Functions
dc.typeArticle

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