On the degree of approximation by the operators of de la Vallée Poussin

F. Schurer; F.W. Steutel

doi:10.1007/BF01470937

On the degree of approximation by the operators of de la Vallée Poussin

F. Schurer, F.W. Steutel

Mathematics and Computer Science

Research output: Contribution to journal › Article › Academic › peer-review

4 Citations (Scopus)

Abstract

In this paper we study the degree of approximation of functionsf inC 2 andC 2 1 by the operatorsV n ofde la Vallée Poussin. The quality of approximation is measured in terms of the modulus of continuity off andf respectively. Forn so-called exact constants of approximation are determined. Furthermore, the asymptotic behaviour of these constants is investigated asn.

Original language	English
Pages (from-to)	53-64
Number of pages	12
Journal	Monatshefte für Mathematik
Volume	87
Issue number	1
DOIs	https://doi.org/10.1007/BF01470937
Publication status	Published - 1979

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title = "On the degree of approximation by the operators of de la Vall{\'e}e Poussin",

abstract = "In this paper we study the degree of approximation of functionsf inC 2 andC 2 1 by the operatorsV n ofde la Vall{\'e}e Poussin. The quality of approximation is measured in terms of the modulus of continuity off andf respectively. Forn so-called exact constants of approximation are determined. Furthermore, the asymptotic behaviour of these constants is investigated asn.",

author = "F. Schurer and F.W. Steutel",

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T1 - On the degree of approximation by the operators of de la Vallée Poussin

AU - Schurer, F.

AU - Steutel, F.W.

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Y1 - 1979

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AB - In this paper we study the degree of approximation of functionsf inC 2 andC 2 1 by the operatorsV n ofde la Vallée Poussin. The quality of approximation is measured in terms of the modulus of continuity off andf respectively. Forn so-called exact constants of approximation are determined. Furthermore, the asymptotic behaviour of these constants is investigated asn.

U2 - 10.1007/BF01470937

DO - 10.1007/BF01470937

M3 - Article

SN - 0026-9255

VL - 87

SP - 53

EP - 64

JO - Monatshefte für Mathematik

JF - Monatshefte für Mathematik

IS - 1

ER -

On the degree of approximation by the operators of de la Vallée Poussin

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