Rate of convergence of the bezier variant of an operator involving laguerre polynomials

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dc.authorid0000-0002-3641-9052en_US
dc.authorid0000-0002-6291-1649en_US
dc.contributor.authorÖksüzer, Özlem
dc.contributor.authorKarslı, Harun
dc.contributor.authorYeşildal, Fatma Taşdelen
dc.date.accessioned2021-06-23T19:49:58Z
dc.date.available2021-06-23T19:49:58Z
dc.date.issued2018
dc.departmentBAİBÜ, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn the present paper, we consider the Bezier variant of an operator involving Laguerre polynomials of degree k,with 1, for bounded functions f defined on the interval [0,1]. In particular, by using the Chanturia modulus of variation, we estimate the rate of pointwise convergence of (P(n,)f)(x,t) at those points x(0,1) at which the one-sided limits f(x+),f(x-) exist. To prove our main result, we have used some methods and techniques of probability theory. Our result extends and generalizes the very recent results of very recent results of the authors to more general classes of functions. Copyright (c) 2016 John Wiley & Sons, Ltd.en_US
dc.identifier.doi10.1002/mma.3705
dc.identifier.endpage919en_US
dc.identifier.issn0170-4214
dc.identifier.issn1099-1476
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-84958206364en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage912en_US
dc.identifier.urihttps://doi.org/10.1002/mma.3705
dc.identifier.urihttps://hdl.handle.net/20.500.12491/9668
dc.identifier.volume41en_US
dc.identifier.wosWOS:000425834700005en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorKarslı, Harun
dc.language.isoenen_US
dc.publisherWileyen_US
dc.relation.ispartofMathematical Methods In The Applied Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectRate of Convergenceen_US
dc.subjectLaguerre Polynomialsen_US
dc.subjectBezier Basisen_US
dc.subjectChanturia's Modulus of Variationen_US
dc.titleRate of convergence of the bezier variant of an operator involving laguerre polynomialsen_US
dc.typeArticleen_US

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