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.
@article{104464,
author = {Josef Matu\v s\r u and Gejza Dohnal and Martin Matu\v s\r u},
title = {On one method of numerical integration},
journal = {Applications of Mathematics},
volume = {36},
year = {1991},
pages = {241-263},
zbl = {0753.65020},
mrnumber = {1113949},
language = {en},
url = {http://dml.mathdoc.fr/item/104464}
}
Matušů, Josef; Dohnal, Gejza; Matušů, Martin. On one method of numerical integration. Applications of Mathematics, Tome 36 (1991) pp. 241-263. http://gdmltest.u-ga.fr/item/104464/
Interpolation von Funktionswerten bei nuraerischen Bahnsteuerungen, Undated publication of CONTRAVES AG, Zurich.
The Lienhard interpolation method and some of its generalization, (in Czech). Act. Polytechnica - Práce ČVUT, Prague 3 (IV, 2), 1978. (1978)
Constructions of interpolation curves from given supporting elements (I), Aplikace matematiky 30 (1985), 4, Prague. (1985) | MR 0813532
Constructions of interpolation curves from given supporting elements (II), Aplikace matematiky 31 (1986), 2, Prague. (1986) | MR 0837474