THE SHARPNESS OF CONVERGENCE RESULTS FOR q-BERNSTEIN POLYNOMIALS IN THE CASE q > 1

被引：15

作者：

Ostrovska, Sofiya ^{[1
]}

机构：

[1] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2008年 / 58卷 / 04期

关键词：

q-integers; q-binomial coefficients; q-Bernstein polynomials; uniform convergence; analytic function; Cauchy estimates;

D O I：

10.1007/s10587-008-0079-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Due to the fact that in the case q > 1 the q-Bernstein polynomials are no longer positive linear operators on C[0, 1], the study of their convergence properties turns out to be essentially more difficult than that for q 1. In this paper, new saturation theorems related to the convergence of q-Bernstein polynomials in the case q > 1 are proved.

引用

页码：1195 / 1206

页数：12

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THE SHARPNESS OF CONVERGENCE RESULTS FOR q-BERNSTEIN POLYNOMIALS IN THE CASE q &gt; 1

THE SHARPNESS OF CONVERGENCE RESULTS FOR q-BERNSTEIN POLYNOMIALS IN THE CASE q > 1