Simultaneous approximation by Bernstein operators in Hölder norms

Heiner Gonska; Jürgen Prestin; Gancho Tachev; Ding Xuan Zhou

doi:10.1002/mana.201100284

Simultaneous approximation by Bernstein operators in Hölder norms

Heiner Gonska^*, Jürgen Prestin, Gancho Tachev, Ding Xuan Zhou

^*Corresponding author for this work

Institute of Mathematics

4 Citations (Scopus)

Abstract

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

Original language	English
Journal	Mathematische Nachrichten
Volume	286
Issue number	4
Pages (from-to)	349-359
Number of pages	11
ISSN	0025-584X
DOIs	https://doi.org/10.1002/mana.201100284
Publication status	Published - 01.03.2013

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title = "Simultaneous approximation by Bernstein operators in H{\"o}lder norms",

abstract = "In this paper we discuss approximation of continuous functions f on [0, 1] in H{\"o}lder norms including simultaneous approximation of derivatives of f.",

author = "Heiner Gonska and J{\"u}rgen Prestin and Gancho Tachev and Zhou, {Ding Xuan}",

year = "2013",

month = mar,

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doi = "10.1002/mana.201100284",

language = "English",

volume = "286",

pages = "349--359",

journal = "Mathematische Nachrichten",

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AU - Gonska, Heiner

AU - Prestin, Jürgen

AU - Tachev, Gancho

AU - Zhou, Ding Xuan

PY - 2013/3/1

Y1 - 2013/3/1

N2 - In this paper we discuss approximation of continuous functions f on [0, 1] in Hölder norms including simultaneous approximation of derivatives of f.

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

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DO - 10.1002/mana.201100284

M3 - Journal articles

AN - SCOPUS:84874356701

SN - 0025-584X

VL - 286

SP - 349

EP - 359

JO - Mathematische Nachrichten

JF - Mathematische Nachrichten

IS - 4

ER -

Simultaneous approximation by Bernstein operators in Hölder norms

Abstract

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