Approximation by modified Szasz-Durrmeyer operators

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dc.contributor.authorAcar, Tuncer
dc.contributor.authorUlusoy, Gulsum
dc.date.accessioned2020-06-25T18:16:46Z
dc.date.available2020-06-25T18:16:46Z
dc.date.issued2016
dc.departmentKırıkkale Üniversitesi
dc.descriptionAcar, Tuncer/0000-0003-0982-9459
dc.description.abstractThe main goal of this paper is to introduce Durrmeyer modifications for the generalized Szasz-Mirakyan operators defined in (Aral et al., in Results Math 65:441-452, 2014). The construction of the new operators is based on a function which is continuously differentiable times on such that and Involving the weighted modulus of continuity constructed using the function , approximation properties of the operators are explored: uniform convergence over unbounded intervals is established and a quantitative Voronovskaya theorem is given. Moreover, we obtain direct approximation properties of the operators in terms of the moduli of smoothness. Our results show that the new operators are sensitive to the rate of convergence to f, depending on the selection of For the particular case , the previous results for classical Szasz-Durrmeyer operators are captured.en_US
dc.identifier.citationclosedAccessen_US
dc.identifier.doi10.1007/s10998-015-0091-2
dc.identifier.endpage75en_US
dc.identifier.issn0031-5303
dc.identifier.issn1588-2829
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-84938542903
dc.identifier.scopusqualityQ2
dc.identifier.startpage64en_US
dc.identifier.urihttps://doi.org/10.1007/s10998-015-0091-2
dc.identifier.urihttps://hdl.handle.net/20.500.12587/6618
dc.identifier.volume72en_US
dc.identifier.wosWOS:000372029200008
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringeren_US
dc.relation.ispartofPeriodica Mathematica Hungarica
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectSzasz-Durrmeyer operatorsen_US
dc.subjectWeighted modulus of continuityen_US
dc.subjectQuantitative Voronovskaya theoremen_US
dc.titleApproximation by modified Szasz-Durrmeyer operatorsen_US
dc.typeArticle

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