On the convergence of Bernstein-Stancu polynomials in the variation seminorm

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Tarih

2016

Dergi Başlığı

Dergi ISSN

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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

Künye