Degree of Approximation for Bivariate Generalized Bernstein Type Operators
Küçük Resim Yok
Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
SPRINGER BASEL AG
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper we study an extension of the bivariate generalized Bernstein operators based on a non-negative real parameters. For these operators we obtain the order of approximation using Peetre's K-functional, a Voronovskaja type theorem and the degree of approximation by means of the Lipschitz class. Further, we consider the Generalized Boolean Sum operators of generalized Bernstein type and we study the degree of approximation in terms of the mixed modulus of continuity. Finally, we show the comparisons by some illustrative graphics in Maple for the convergence of the operators to certain functions.
Açıklama
Anahtar Kelimeler
GBS operators, B-continuous function, B-differentiable function, mixed modulus of smoothness
Kaynak
RESULTS IN MATHEMATICS
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
73
Sayı
2
