# 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. Zbl0147.35803
- 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) Zbl0605.65006MR0813532
- J. Matušů J. Novák, Constructions of interpolation curves from given supporting elements (II), Aplikace matematiky 31 (1986), 2, Prague. (1986) Zbl0628.65004MR0837474

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