Weighted Approximation by New Bernstein-Chlodowsky-Gadjiev Operators

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dc.contributor.authorAral, Ali
dc.contributor.authorAcar, Tuncer
dc.date.accessioned2020-06-25T18:07:41Z
dc.date.available2020-06-25T18:07:41Z
dc.date.issued2013
dc.departmentKırıkkale Üniversitesi
dc.descriptionAcar, Tuncer/0000-0003-0982-9459
dc.description.abstractIn the present paper, we introduce Bernstein-Chlodowsky-Gadjiev operators taking into consideration the polynomials introduced by Gadjiev and Ghorbanalizadeh [2]. The interval of convergence of the operators is a moved interval as polynomials given in [2] but grows as n -> infinity as in the classical Bernstein-Chlodowsky polynomials. Also their knots are shifted and depend on x. We firstly study weighted approximation properties of these operators and show that these operators are more efficient in weighted approximating to function having polynomial growth since these operators contain a factor b(n) tending to infinity. Secondly we calculate derivative of new Bernstein-Chlodowsky-Gadjiev operators and give a weighted approximation theorem in Lipchitz space for the derivatives of these operators.en_US
dc.description.sponsorshipScientific and Technological Research Council of TurkeyTurkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK) [112T548]en_US
dc.description.sponsorshipThe first author is supported by The Scientific and Technological Research Council of Turkey under Project No: 112T548.en_US
dc.identifier.citationAral, A. ve Acar, T. (2013). Weighted Approximation by New Bernstein-Chlodowsky-Gadjiev Operators. FILOMAT, 27(2), 371–380.en_US
dc.identifier.doi10.2298/FIL1302371A
dc.identifier.endpage380en_US
dc.identifier.issn0354-5180
dc.identifier.issue2en_US
dc.identifier.startpage371en_US
dc.identifier.urihttps://doi.org/10.2298/FIL1302371A
dc.identifier.urihttps://hdl.handle.net/20.500.12587/5639
dc.identifier.volume27en_US
dc.identifier.wosWOS:000322027700017
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherUniv Nis, Fac Sci Mathen_US
dc.relation.ispartofFilomat
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBernstein-Chlodowsky-Gadjiev operatorsen_US
dc.subjectweighted approximationen_US
dc.subjectLipschitz spaceen_US
dc.titleWeighted Approximation by New Bernstein-Chlodowsky-Gadjiev Operatorsen_US
dc.typeArticle

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