DEFERRED NORLUND STATISTICAL RELATIVE UNIFORM CONVERGENCE AND KOROVKIN-TYPE APPROXIMATION THEOREM

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dc.authoridYILDIZ, Sevda/0000-0002-4730-2271
dc.authoriddirik, fadime/0000-0002-9316-9037
dc.contributor.authorDemirci, Kamil
dc.contributor.authorDirik, Fadime
dc.contributor.authorYildiz, Sevda
dc.date.accessioned2025-03-23T19:26:36Z
dc.date.available2025-03-23T19:26:36Z
dc.date.issued2021
dc.departmentSinop Üniversitesi
dc.description.abstractIn this paper, we define the concept of statistical relative uniform convergence of the deferred Norlund mean and we prove a general Korovkin-type approximation theorem by using this convergence method. As an application, we use classical Bernstein polynomials for defining an operator that satisfies our new approximation theorem but does not satisfy the theorem given before. Additionally, we estimate the rate of convergence of approximating positive linear operators by means of the modulus of continuity.
dc.description.sponsorshipSinop University Scientific Research Coordination Unit [FEF-1901-18-25]
dc.description.sponsorshipThis research was supported by Sinop University Scientific Research Coordination Unit, Project N. FEF-1901-18-25
dc.identifier.doi10.31801/cfsuasmas.807169
dc.identifier.endpage289
dc.identifier.issn1303-5991
dc.identifier.issue1
dc.identifier.scopusqualityN/A
dc.identifier.startpage279
dc.identifier.trdizinid439316
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.807169
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/439316
dc.identifier.urihttps://hdl.handle.net/11486/4738
dc.identifier.volume70
dc.identifier.wosWOS:000663383900015
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakTR-Dizin
dc.language.isoen
dc.publisherAnkara Univ, Fac Sci
dc.relation.ispartofCommunications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20250323
dc.subjectStatistical convergence
dc.subjectstatistical relative uniform convergence
dc.subjectNorlund summability
dc.subjectKorovkin-type approximation theorem
dc.subjectmodulus of continuity
dc.titleDEFERRED NORLUND STATISTICAL RELATIVE UNIFORM CONVERGENCE AND KOROVKIN-TYPE APPROXIMATION THEOREM
dc.typeArticle

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