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Title: On one method of numerical integration (English)
Author: Matušů, Josef
Author: Dohnal, Gejza
Author: Matušů, Martin
Language: English
Journal: Applications of Mathematics
ISSN: 0862-7940 (print)
ISSN: 1572-9109 (online)
Volume: 36
Issue: 4
Year: 1991
Pages: 241-263
Summary lang: English
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Category: math
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Summary: The uniform convergence of a sequence of Lienhard approximation of a given continuous function is proved. Further, a method of numerical integration is derived which is based on the Lienhard interpolation method. (English)
Keyword: Lienhard interpolation
Keyword: numerical integration
Keyword: interpolation curve
Keyword: uniform convergence
Keyword: Lienhard curves
MSC: 41A05
MSC: 41A55
MSC: 65D05
MSC: 65D30
MSC: 65D32
idZBL: Zbl 0753.65020
idMR: MR1113949
DOI: 10.21136/AM.1991.104464
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Date available: 2008-05-20T18:41:50Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/104464
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Reference: [1] H. Lienhard: Interpolation von Funktionswerten bei nuraerischen Bahnsteuerungen.Undated publication of CONTRAVES AG, Zurich.
Reference: [2] J. Matušů: The Lienhard interpolation method and some of its generalization.(in Czech). Act. Polytechnica - Práce ČVUT, Prague 3 (IV, 2), 1978.
Reference: [3] J. Matušů J. Novák: Constructions of interpolation curves from given supporting elements (I).Aplikace matematiky 30 (1985), 4, Prague. MR 0813532
Reference: [4] J. Matušů J. Novák: Constructions of interpolation curves from given supporting elements (II).Aplikace matematiky 31 (1986), 2, Prague. MR 0837474
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