Approximation of Functions by Genuine Bernstein-Durrmeyer Type Operators
Küçük Resim Yok
Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
ELEMENT
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Very recently, in [4] Chen et. al introduced and considered a new generalization of Bernstein polynomials depending on a patameter alpha. As classical Bernstein operators, these operators also provide interpolation at the end points of [0,1] and they have the linear precision property which means those reproduce the linear functions. In this paper we introduce genuine alpha-Bernstein-Durrmeyer operators. Some approximation results, which include local approximation, error estimation in terms of Ditzian-Totik modulus of smoothness are obtained. Also, the convergence of these operators to certain functions is shown by illustrative graphics using MAPLE algorithms.
Açıklama
Anahtar Kelimeler
Genuine Bernstein-Durrmeyer operators, Rate of convergence, Linear positive operators
Kaynak
JOURNAL OF MATHEMATICAL INEQUALITIES
WoS Q Değeri
Q1
Scopus Q Değeri
Cilt
12
Sayı
4
