Scopus
YÖKSİS Eşleşti
Bezier variant of the Bernstein–Durrmeyer type operators
Results in Mathematics · Kasım 2017
YÖKSİS Kayıtları
Bezier variant of the Bernstein–Durrmeyer type operators
Results in Mathematics · 2017 SCI-Expanded
PROFESÖR TUNCER ACAR →
Makale Bilgileri
DergiResults in Mathematics
Yayın TarihiKasım 2017
Cilt / Sayfa72 · 1341-1358
Scopus ID2-s2.0-85007590794
Özet
In the present paper, we introduce the Bezier-variant of Durrmeyer modification of the Bernstein operators based on a function τ, which is infinite times continuously differentiable and strictly increasing function on [0, 1] such that τ(0) = 0 and τ(1) = 1. 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.
Yazarlar (3)
1
Tuncer Acar
2
Purshottam N. Agrawal
3
Trapti Neer
Anahtar Kelimeler
Bezier operators
Functions of bounded variation
K-functional
Modulus of continuity
Kurumlar
Indian Institute of Technology Roorkee
Roorkee India
Kirikkale Üniversitesi
Kirikkale Turkey
Metrikler
23
Atıf
3
Yazar
4
Anahtar Kelime