Complete asymptotic expansions for the chlodovsky polynomials
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Tarih
2013
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taylor & Francis Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The purpose of this article is to study the local rate of convergence of the Chlodovsky operators (C(n)f)(x). As the main results, we investigate their asymptotic behaviour and derive the complete asymptotic expansions of these operators. All the coefficients of n(-k)(k=1, 2,...) are calculated in terms of the Stirling numbers of first and second kind. We mention that analogous results for the Bernstein polynomials can be found in Lorentz [2].
Açıklama
Anahtar Kelimeler
Bernstein-Chlodovsky Polynomials, Complete Asymptotic Expansion, Stirling Numbers, Voronovskaya Type Theorem
Kaynak
Numerical Functional Analysis And Optimization
WoS Q Değeri
Q4
Scopus Q Değeri
Q2
Cilt
34
Sayı
11
