SZASZ-MIRAKJAN TYPE OPERATORS OF TWO VARIABLES PROVIDING A BETTER ESTIMATION ON [0,1] x [0, 1]

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dc.authoridDemirci, Kamil/0000-0002-5976-9768
dc.authoriddirik, fadime/0000-0002-9316-9037
dc.contributor.authorDirik, Fadime
dc.contributor.authorDemirci, Kamil
dc.date.accessioned2025-03-23T19:47:55Z
dc.date.available2025-03-23T19:47:55Z
dc.date.issued2011
dc.departmentSinop Üniversitesi
dc.description.abstractThis paper deals with a modification of the classical Szasz-Mirakjan type operators of two variables. It introduces a new sequence of non-polynomial linear operators which hold fixed the polynomials x(2)+ alpha x and y(2) + beta y with alpha, beta is an element of [0, infinity) and we study the convergence properties of the new approximation process. Also, we compare it with Szasz-Mirakjan type operators and show an improvement of the error of convergence in [0, 1] x [0, 1]. Finally, we study statistical convergence of this modification.
dc.identifier.endpage66
dc.identifier.issn0025-5165
dc.identifier.issn2406-0682
dc.identifier.issue1
dc.identifier.scopusqualityQ3
dc.identifier.startpage59
dc.identifier.urihttps://hdl.handle.net/11486/7444
dc.identifier.volume63
dc.identifier.wosWOS:000436931200008
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherMath Soc Serbia-Drustvo Matematicara Srbije
dc.relation.ispartofMatematicki Vesnik
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20250323
dc.subjectSzasz-Mirakjan type operators
dc.subjectA-statistical convergence for double sequences
dc.subjectKorovkin-type approximation theorem
dc.subjectmodulus of contiunity
dc.titleSZASZ-MIRAKJAN TYPE OPERATORS OF TWO VARIABLES PROVIDING A BETTER ESTIMATION ON [0,1] x [0, 1]
dc.typeArticle

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