Approximation by Szasz-Mirakjan-Durrmeyer operators based on shape parameter λ

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dc.contributor.authorArslan, Reşat
dc.contributor.departmentOthertr_TR
dc.contributor.facultyOthertr_TR
dc.date.accessioned2022-12-27T08:04:29Z
dc.date.available2022-12-27T08:04:29Z
dc.date.issued2022
dc.description.abstractIn this paper, we study several approximation properties of Szasz-Mirakjan-Durrmeyer operators with shape parameter λ ∈ [ − 1 , 1 ] . Firstly, we obtain some preliminaries results such as moments and central moments. Next, we estimate the order of convergence in terms of the usual modulus of continuity, for the functions belong to Lipschitz type class and Peetre's K-functional, respectively. Also, we prove a Korovkin type approximation theorem on weighted spaces and derive a Voronovskaya type asymptotic theorem for these operators. Finally, we give the comparison of the convergence of these newly defined operators to the certain functions with some graphics and error of approximation table.tr_TR
dc.description.indexTrdizintr_TR
dc.identifier.endpage421tr_TR
dc.identifier.issn/e-issn1303-5991
dc.identifier.issue2tr_TR
dc.identifier.startpage407tr_TR
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.941919tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/86489
dc.identifier.volume71tr_TR
dc.language.isoentr_TR
dc.publisherAnkara Üniversitesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.941919tr_TR
dc.relation.journalCommunications, Series A1:Mathematics and Statisticstr_TR
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıtr_TR
dc.subjectModulus of continuity, Lipschitz type class, Voronovskaya type asymptotic theorem, Szasz-Mirakjan-Durrmeyer operators, weighted approximationtr_TR
dc.titleApproximation by Szasz-Mirakjan-Durrmeyer operators based on shape parameter λtr_TR
dc.typeArticletr_TR

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Cilt:71 Sayı:02 (2022)