On approximation properties of a new construction of Baskakov operators

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dc.contributor.authorUsta, Fuat
dc.date.accessioned2021-12-01T18:47:27Z
dc.date.available2021-12-01T18:47:27Z
dc.date.issued2021
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe purpose of this research is to construct sequences of Baskakov operators such that their construction consists of a function sigma by use of two function sequences, xi n and eta n. In these operators, sigma not only features the sequences of operators but also features the Korovkin function set {1,sigma,sigma(2)} in a weighted function space such that the operators fix exactly two functions from the set. Thereafter, weighted uniform approximation on an unbounded interval, the degree of approximation with regards to a weighted modulus of continuity, and an asymptotic formula of the new operators are presented. Finally, some illustrative results are provided in order to observe the approximation properties of the newly defined Baskakov operators. The results demonstrate that the introduced operators provide better results in terms of the rate of convergence according to the selection of sigma.en_US
dc.identifier.doi10.1186/s13662-021-03425-6
dc.identifier.issn1687-1847
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85106961193en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.urihttps://doi.org/10.1186/s13662-021-03425-6
dc.identifier.urihttps://hdl.handle.net/20.500.12684/10277
dc.identifier.volume2021en_US
dc.identifier.wosWOS:000653038700001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorUsta, Fuat
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofAdvances In Difference Equationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectBaskakov operatorsen_US
dc.subjectRate of convergenceen_US
dc.subjectVoronovskaya type theoremen_US
dc.subjectWeighted approximationen_US
dc.subjectNumerical experimentsen_US
dc.titleOn approximation properties of a new construction of Baskakov operatorsen_US
dc.typeArticleen_US

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