Geodesic
On one method of numerical integration
Applications of Mathematics, Tome 36 (1991) no. 4, pp. 241-263

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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.
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.
DOI : 10.21136/AM.1991.104464
Classification : 41A05, 41A55, 65D05, 65D30, 65D32
Keywords: Lienhard interpolation; numerical integration; interpolation curve; uniform convergence; Lienhard curves 
Matušů, Josef; Dohnal, Gejza; Matušů, Martin. On one method of numerical integration. Applications of Mathematics, Tome 36 (1991) no. 4, pp. 241-263. doi: 10.21136/AM.1991.104464
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[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

[4] J. Matušů J. Novák: Constructions of interpolation curves from given supporting elements (II). Aplikace matematiky 31 (1986), 2, Prague. | MR

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