Sáasz-Mirakjan type operators of two variables providing a better estimation on [0,1] × [0,1]

dc.contributor.authorDirik, Fadime
dc.contributor.authorDemirci, Kamil
dc.date.accessioned2025-03-23T19:17:54Z
dc.date.available2025-03-23T19:17:54Z
dc.date.issued2011
dc.departmentSinop Üniversitesi
dc.description.abstractThis paper deals with a modification of the classical Sz ́asz-Mirakjan type operators of two variables. It introduces a new sequence of non-polynomial linear operators which hold fixed the polynomials x2+αx and y2+βy with αβε[0,∞) and we study the convergence properties of the new approximation process. Also, we compare it with Sz ́asz-Mirakjan type operators and show an improvement of the error of convergence in [0,1] × [0,1]. Finally, we study statistical convergence of this modification.
dc.identifier.endpage66
dc.identifier.issn0025-5165
dc.identifier.issue1
dc.identifier.scopus2-s2.0-78650617923
dc.identifier.scopusqualityQ3
dc.identifier.startpage59
dc.identifier.urihttps://hdl.handle.net/11486/4467
dc.identifier.volume63
dc.indekslendigikaynakScopus
dc.language.isoen
dc.relation.ispartofMatematicki Vesnik
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_Scopus_20250323
dc.subjectA-statistical convergence for double sequences
dc.subjectKorovkin-type approximation theorem
dc.subjectModulus of contiunity
dc.subjectSáasz-Mirakjan type operators
dc.titleSáasz-Mirakjan type operators of two variables providing a better estimation on [0,1] × [0,1]
dc.typeArticle

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