On one method of numerical integration
Josef Matušů; Gejza Dohnal; Martin Matušů
Applications of Mathematics (1991)
- Volume: 36, Issue: 4, page 241-263
- ISSN: 0862-7940
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topMatušů, Josef, Dohnal, Gejza, and Matušů, Martin. "On one method of numerical integration." Applications of Mathematics 36.4 (1991): 241-263. <http://eudml.org/doc/15677>.
@article{Matušů1991,
abstract = {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.},
author = {Matušů, Josef, Dohnal, Gejza, Matušů, Martin},
journal = {Applications of Mathematics},
keywords = {Lienhard interpolation; numerical integration; interpolation curve; uniform convergence; Lienhard curves; Lienhard interpolation method; interpolation curve; uniform convergence; numerical integration rule; Lienhard curves},
language = {eng},
number = {4},
pages = {241-263},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On one method of numerical integration},
url = {http://eudml.org/doc/15677},
volume = {36},
year = {1991},
}
TY - JOUR
AU - Matušů, Josef
AU - Dohnal, Gejza
AU - Matušů, Martin
TI - On one method of numerical integration
JO - Applications of Mathematics
PY - 1991
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 36
IS - 4
SP - 241
EP - 263
AB - 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.
LA - eng
KW - Lienhard interpolation; numerical integration; interpolation curve; uniform convergence; Lienhard curves; Lienhard interpolation method; interpolation curve; uniform convergence; numerical integration rule; Lienhard curves
UR - http://eudml.org/doc/15677
ER -
References
top- H. Lienhard, Interpolation von Funktionswerten bei nuraerischen Bahnsteuerungen, Undated publication of CONTRAVES AG, Zurich.
- J. Matušů, The Lienhard interpolation method and some of its generalization, (in Czech). Act. Polytechnica - Práce ČVUT, Prague 3 (IV, 2), 1978. (1978)
- J. Matušů J. Novák, Constructions of interpolation curves from given supporting elements (I), Aplikace matematiky 30 (1985), 4, Prague. (1985) MR0813532
- J. Matušů J. Novák, Constructions of interpolation curves from given supporting elements (II), Aplikace matematiky 31 (1986), 2, Prague. (1986) MR0837474
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