Approximation via equi-statistical convergence in the sense of power series method

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dc.authoriddirik, fadime/0000-0002-9316-9037
dc.authoridYILDIZ, Sevda/0000-0002-4730-2271
dc.contributor.authorDemirci, Kamil
dc.contributor.authorDirik, Fadime
dc.contributor.authorYildiz, Sevda
dc.date.accessioned2025-03-23T19:42:19Z
dc.date.available2025-03-23T19:42:19Z
dc.date.issued2022
dc.departmentSinop Üniversitesi
dc.description.abstractIn this study, we define a new type of convergence using the notions of statistical convergence in the sense of the power series method and equi-statistical convergence then, we give an example that supports this new definition and after that we use it to prove a Korovkin-type approximation theorem. This theorem is a non-trivial generalization of Korovkin-type approximation theorems that have been studied in earlier papers. Also, we present an example that satisfies our approximation theorem which hasn't satisfied the one studied before. Moreover, we calculate the rate of equi-statistical convergence in the sense of the power series method and then, we prove a Voronovskaya-type approximation theorem. Finally, we summarize our results in the conclusion section.
dc.identifier.doi10.1007/s13398-021-01191-4
dc.identifier.issn1578-7303
dc.identifier.issn1579-1505
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85123482873
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1007/s13398-021-01191-4
dc.identifier.urihttps://hdl.handle.net/11486/6763
dc.identifier.volume116
dc.identifier.wosWOS:000745600200003
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer-Verlag Italia Srl
dc.relation.ispartofRevista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20250323
dc.subjectStatistical convergence with respect to power series method
dc.subjectEqui-statistical convergence
dc.subjectRate of convergence
dc.subjectVoronovskaya-type approximation theorem
dc.subjectKorovkin-type approximation theorem
dc.titleApproximation via equi-statistical convergence in the sense of power series method
dc.typeArticle

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