Approximation by k-th order modifications of Szász-Mirakyan operators

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dc.contributor.authorAcar, Tuncer
dc.contributor.authorAral, Ali
dc.contributor.authorRasa, Ioan
dc.date.accessioned2020-06-25T18:16:15Z
dc.date.available2020-06-25T18:16:15Z
dc.date.issued2016
dc.departmentKırıkkale Üniversitesi
dc.descriptionAcar, Tuncer/0000-0003-0982-9459; Rasa, Ioan/0000-0002-5206-030X
dc.description.abstractIn this paper, we study the k-th order Kantorovich type modication of Szasz-Mirakyan operators. We first establish explicit formulas giving the images of monomials and the moments up to order six. Using this modification, we present a quantitative Voronovskaya theorem for differentiated Szasz-Mirakyan operators in weighted spaces. The approximation properties such as rate of convergence and simultaneous approximation by the new constructions are also obtained.en_US
dc.identifier.citationclosedAccessen_US
dc.identifier.doi10.1556/012.2016.53.3.1339
dc.identifier.endpage398en_US
dc.identifier.issn0081-6906
dc.identifier.issn1588-2896
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-84987608674
dc.identifier.scopusqualityQ2
dc.identifier.startpage379en_US
dc.identifier.urihttps://doi.org/10.1556/012.2016.53.3.1339
dc.identifier.urihttps://hdl.handle.net/20.500.12587/6471
dc.identifier.volume53en_US
dc.identifier.wosWOS:000385623300004
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAkademiai Kiado Rten_US
dc.relation.ispartofStudia Scientiarum Mathematicarum Hungarica
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectSzasz-Mirakyan operatorsen_US
dc.subjectKantorovich operatorsen_US
dc.subjectweighted modulus of continuityen_US
dc.subjectquantitative Voronovskaya theoremen_US
dc.subjectsimultaneous approximationen_US
dc.titleApproximation by k-th order modifications of Szász-Mirakyan operatorsen_US
dc.typeArticle

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