On Pointwise Convergence of q-Bernstein Operators and Their q-Derivatives
Yükleniyor...
Tarih
2015
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taylor & Francis Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Pointwise convergence of q-Bernstein polynomials and their q-derivatives in the case of 0 < q < 1 is discussed. We study quantitative Voronovskaya type results for q-Bernstein polynomials and their q-derivatives. These theorems are given in terms of the modulus of continuity of q-derivative of f which is the main interest of this article. It is also shown that our results hold for continuous functions although those are given for two and three times continuously differentiable functions in classical case.
Açıklama
Acar, Tuncer/0000-0003-0982-9459
Anahtar Kelimeler
41A36, 41A25, Quantitative Voronovskaya-type theorem, q-Bernstein operators, q-derivative
Kaynak
Numerical Functional Analysis And Optimization
WoS Q Değeri
Q3
Scopus Q Değeri
Q2
Cilt
36
Sayı
3
Künye
closedAccess
