On the rates of convergence of Bernstein-Chlodovsky polynomials and their Bezier-type variants

Basit Öğe Kaydı
dc.authorid0000-0002-3641-9052en_US
dc.contributor.authorPych-Taberska, Paulina
dc.contributor.authorKarslı, Harun
dc.date.accessioned2021-06-23T19:28:26Z
dc.date.available2021-06-23T19:28:26Z
dc.date.issued2011
dc.departmentBAİBÜ, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this article, we consider the Chlodovsky polynomials Cn f and their Bezier variants Cn, f, with 0, for locally bounded functions f on the interval [0, ). Using the Chanturiya modulus of variation we give estimates for the rates of convergence of Cn f (x) and Cn, f (x) at those points x 0 at which the one-sided limits f (x+), f (x-) exist. The recent results of Karsli and Ibiki [H. Karsli and E. Ibikli, Rate of convergence of Chlodovsky type Bernstein operators for functions of bounded variation, Numer. Funct. Anal. Optim. 28(3-4) (2007), pp. 367-378; H. Karsli and E. Ibikli, Convergence rate of a new Bezier variant of Chlodovsky operators to bounded variation functions, J. Comput. Appl. Math. 212(2) (2008), pp. 431-443.] are essentially improved and extended to more general classes of functions.en_US
dc.identifier.doi10.1080/00036810903399046
dc.identifier.endpage416en_US
dc.identifier.issn0003-6811
dc.identifier.issue3-4en_US
dc.identifier.scopus2-s2.0-79952829904en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage403en_US
dc.identifier.urihttps://doi.org/10.1080/00036810903399046
dc.identifier.urihttps://hdl.handle.net/20.500.12491/7015
dc.identifier.volume90en_US
dc.identifier.wosWOS:000288664000003en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorKarslı, Harun
dc.language.isoenen_US
dc.publisherTaylor & Francis Ltden_US
dc.relation.ispartofApplicable Analysisen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectrate of convergenceen_US
dc.subjectBernstein-Chlodovsky polynomialsen_US
dc.subjectBezier basisen_US
dc.subjectChanturiya's modulus of variationen_US
dc.subjectp-th power variationen_US
dc.titleOn the rates of convergence of Bernstein-Chlodovsky polynomials and their Bezier-type variantsen_US
dc.typeArticleen_US

Dosyalar

Orijinal paket
Listeleniyor 1 - 1 / 1
Küçük Resim Yok
İsim:
paulina-pych-taberska.pdf
Boyut:
342.99 KB
Biçim:
Adobe Portable Document Format
Açıklama:
Tam metin / Full Text
İndir

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Matematik Bölümü Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu