Bezier variant of the Bernstein-Durrmeyer type operators
Yükleniyor...
Tarih
2017
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Basel Ag
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present paper, we introduce the Bezier-variant of Durrmeyer modification of the Bernstein operators based on a function , which is infinite times continuously differentiable and strictly increasing function on [0, 1] such that and . We give the rate of approximation of these operators in terms of usual modulus of continuity and K-functional. Next, we establish the quantitative Voronovskaja type theorem. In the last section we obtain the rate of convergence for functions having derivative of bounded variation.
Açıklama
Acar, Tuncer/0000-0003-0982-9459
Anahtar Kelimeler
Bezier operators, K-functional, Modulus of continuity, Functions of bounded variation
Kaynak
Results In Mathematics
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
72
Sayı
3
Künye
closedAccess
