Scopus
🔓 Açık Erişim YÖKSİS Eşleşti
Weighted approximation by new Bernstein-Chlodowsky-Gadjiev operators
Filomat · Temmuz 2013
YÖKSİS Kayıtları
Weighted approximation by new Bernstein Chlodowsky Gadjiev operators
Filomat · 2013 SCI-Expanded 2 atıf
PROFESÖR TUNCER ACAR →
Makale Bilgileri
DergiFilomat
Yayın TarihiTemmuz 2013
Cilt / Sayfa27 · 371-380
Scopus ID2-s2.0-84880098673
Erişim🔓 Açık Erişim
Özet
In the present paper, we introduce Bernstein-Chlodowsky-Gadjiev operators taking into consideration the polynomials introduced by Gadjiev and Ghorbanalizadeh [2]. The interval of convergence of the operators is a moved interval as polynomials given in [2] but grows as n → ∞ as in the classical Bernstein-Chlodowsky polynomials. Also their knots are shifted and depend on x. We firstly study weighted approximation properties of these operators and show that these operators are more efficient in weighted approximating to function having polynomial growth since these operators contain a factor bn tending to infinity. Secondly we calculate derivative of new Bernstein-Chlodowsky- Gadjiev operators and give a weighted approximation theorem in Lipchitz space for the derivatives of these operators.
Yazarlar (2)
1
Ali Aral
ORCID: 0000-0002-2024-8607
2
Tuncer Acar
Anahtar Kelimeler
Bernstein-Chlodowsky-Gadjiev operators
Lipschitz space
Weighted approximation
Metrikler
30
Atıf
2
Yazar
3
Anahtar Kelime