Approximation in compact sets by q-Stancu-Faber polynomials, q > 1

被引：6

作者：

Gal, Sorin G. ^{[1
]}

机构：

[1] Univ Oradea, Dept Math & Comp Sci, Oradea 410087, Romania

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 61卷 / 10期

关键词：

Conformal mapping; Faber polynomials; q-Stancu-Faber polynomials; q > 1; Order of approximation; Q-BERNSTEIN POLYNOMIALS; CONVERGENCE; SECTORS;

D O I：

10.1016/j.camwa.2011.03.087

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that the q-Stancu-Faber polynomials, q > 1, attached to a compact set G subset of C and to an analytic function on G, can represent good alternatives to the partial sums of the Faber series attached to the same function and subset, both giving the geometric progression order of approximation q(-n). (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：3003 / 3009

页数：7

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Approximation in compact sets by q-Stancu-Faber polynomials, q &gt; 1

Approximation in compact sets by q-Stancu-Faber polynomials, q > 1