On New Modification of Bernstein Operators: Theory and Applications

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dc.authorwosidUsta, Fuat/ABE-1004-2020
dc.contributor.authorUsta, Fuat
dc.date.accessioned2021-12-01T18:47:27Z
dc.date.available2021-12-01T18:47:27Z
dc.date.issued2020
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractApproximation theory has a significant place in the studies in mathematics, and the researches on it are increasing with each passing day. Accordingly, a number of studies have been presented about Bernstein approximation which is one of the most known linear positive operators. In this study, a new modification of Bernstein operators which fix constant and preserve Korovkin's other test functions in limit case has been introduced. Then, the approximation properties of the newly defined operators such as asymptotic formulas, weighted approximation and rate of convergence have been presented. Moreover, numerical simulations are included. Finally, discussion and conclusions are presented.en_US
dc.identifier.doi10.1007/s40995-020-00919-y
dc.identifier.endpage1124en_US
dc.identifier.issn1028-6276
dc.identifier.issn2364-1819
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85088091992en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage1119en_US
dc.identifier.urihttps://doi.org/10.1007/s40995-020-00919-y
dc.identifier.urihttps://hdl.handle.net/20.500.12684/10274
dc.identifier.volume44en_US
dc.identifier.wosWOS:000555495700002en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorUsta, Fuat
dc.language.isoenen_US
dc.publisherSpringer International Publishing Agen_US
dc.relation.ispartofIranian Journal Of Science And Technology Transaction A-Scienceen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBernstein operatoren_US
dc.subjectVoronovskaya-type theoremen_US
dc.subjectRate of convergenceen_US
dc.subjectWeighted approximationen_US
dc.titleOn New Modification of Bernstein Operators: Theory and Applicationsen_US
dc.typeArticleen_US

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