Approximation properties for generalized q-Bernstein polynomials

被引：49

作者：

Nowak, Grzegorz ^{[1
]}

机构：

[1] Univ Mkt & Management, PL-64100 Leszno, Poland

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 350卷 / 01期

关键词：

q-Bernstein polynomials; Stancu polynomials; q-integers; q-differences; CONVERGENCE;

D O I：

10.1016/j.jmaa.2008.09.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

in this paper, we introduce the generalized q-Bernstein polynomials based on the q-integers and we study approximation properties of these operators. In special case, we obtain Stancu operators or Phillips polynomials. (c) 2008 Elsevier Inc. All rights reserved.

引用

页码：50 / 55

页数：6

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