Simultaneous approximation by Bernstein operators in Holder norms

被引：2

作者：

Gonska, Heiner ^{[1
]}

Prestin, Juergen ^{[2
]}

Tachev, Gancho ^{[3
]}

Zhou, Ding-xuan ^{[4
]}

机构：

[1] Univ Duisburg Essen, Fac Math, D-47048 Duisburg, Germany

[2] Med Univ Lubeck, Inst Math, D-23562 Lubeck, Germany

[3] Univ Architecture, Dept Math, Sofia 1046, Bulgaria

[4] City Univ Hong Kong, Dept Math, Kowloon Tong, Hong Kong, Peoples R China

来源：

MATHEMATISCHE NACHRICHTEN | 2013年 / 286卷 / 04期

关键词：

Bernstein polynomials; Holder norms; simultaneous approximation; modulus of continuity;

D O I：

10.1002/mana.201100284

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we discuss approximation of continuous functions f on [0, 1] in Holder norms including simultaneous approximation of derivatives of f.

引用

页码：349 / 359

页数：11

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