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Matušů, Josef ; Dohnal, Gejza ; Matušů, Martin
On one method of numerical integration. (English). Applications of Mathematics, vol. 36 (1991), issue 4, pp. 241-263
MSC: 41A05, 41A55, 65D05, 65D30, 65D32 | MR 1113949 | Zbl 0753.65020 | DOI: 10.21136/AM.1991.104464
Keywords:
Lienhard interpolation; numerical integration; interpolation curve; uniform convergence; Lienhard curves
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.
References:
[1] H. Lienhard: Interpolation von Funktionswerten bei nuraerischen Bahnsteuerungen. Undated publication of CONTRAVES AG, Zurich.
[2] J. Matušů: The Lienhard interpolation method and some of its generalization. (in Czech). Act. Polytechnica - Práce ČVUT, Prague 3 (IV, 2), 1978.
[3] J. Matušů J. Novák: Constructions of interpolation curves from given supporting elements (I). Aplikace matematiky 30 (1985), 4, Prague. MR 0813532
[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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