Approximation of Functions by Genuine Bernstein-Durrmeyer Type Operators

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dc.contributor.authorAcar, Tuncer
dc.contributor.authorAcu, Ana-Maria
dc.contributor.authorManav, Nesibe
dc.date.accessioned2020-03-26T19:52:56Z
dc.date.available2020-03-26T19:52:56Z
dc.date.issued2018
dc.departmentSelçuk Üniversitesien_US
dc.description.abstractVery recently, in [4] Chen et. al introduced and considered a new generalization of Bernstein polynomials depending on a patameter alpha. As classical Bernstein operators, these operators also provide interpolation at the end points of [0,1] and they have the linear precision property which means those reproduce the linear functions. In this paper we introduce genuine alpha-Bernstein-Durrmeyer operators. Some approximation results, which include local approximation, error estimation in terms of Ditzian-Totik modulus of smoothness are obtained. Also, the convergence of these operators to certain functions is shown by illustrative graphics using MAPLE algorithms.en_US
dc.identifier.doi10.7153/jmi-2018-12-74en_US
dc.identifier.endpage987en_US
dc.identifier.issn1846-579Xen_US
dc.identifier.issue4en_US
dc.identifier.startpage975en_US
dc.identifier.urihttps://dx.doi.org/10.7153/jmi-2018-12-74
dc.identifier.urihttps://hdl.handle.net/20.500.12395/36345
dc.identifier.volume12en_US
dc.identifier.wosWOS:000451334900007en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherELEMENTen_US
dc.relation.ispartofJOURNAL OF MATHEMATICAL INEQUALITIESen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectGenuine Bernstein-Durrmeyer operatorsen_US
dc.subjectRate of convergenceen_US
dc.subjectLinear positive operatorsen_US
dc.titleApproximation of Functions by Genuine Bernstein-Durrmeyer Type Operatorsen_US
dc.typeArticleen_US

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