On the convergence of Bernstein-Stancu polynomials in the variation seminorm
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Dosyalar
Tarih
2016
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taylor & Francis Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This article studies the variation detracting property and rate of approximation of the Bernstein-Stancu polynomials in the space of functions of bounded variation with respect to the variation seminorm. Moreover, we will present Voronovskaya-type theorems for Bernstein-Stancu polynomials B(n,alpha,beta)f and for the first derivative of these polynomials. Finally we include some graphical examples.
Açıklama
Anahtar Kelimeler
Bernstein-Stancu Polynomials, Convergence in Variation Seminorm, Variation Detracting Property, Voronovskaya-Type Theorems
Kaynak
Numerical Functional Analysis And Optimization
WoS Q Değeri
Q3
Scopus Q Değeri
Q2
Cilt
37
Sayı
5