COMPLETE ASYMPTOTIC EXPANSIONS FOR THE CHLODOVSKY POLYNOMIALS

被引：5

作者：

Karsli, Harun ^{[1
]}

机构：

[1] Abant Izzet Baysal Univ, Dept Math, Fac Sci & Arts, TR-14280 Golkoy Bolu, Turkey

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2013年 / 34卷 / 11期

关键词：

Bernstein-Chlodovsky polynomials; Complete asymptotic expansion; Stirling numbers; Voronovskaya type theorem; OPERATORS;

D O I：

10.1080/01630563.2013.806547

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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].

引用

页码：1206 / 1223

页数：18

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