Univariate Shepard-Lagrange interpolation
Kragujevac Journal of Mathematics, Tome 24 (2002) no. 1
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
Kragujevac J. Math. 24 (2002) 85-94.
UNIVARIATE SHEPARD-LAGRANGE INTERPOLATIONRadu T. TrimbitasFaculty of Mathematics and Computer Science,
"Babe s-Bolyai" University, Cluj-Napoca, Romania
(Received July 15, 2002)
Abstract. In this
paper we study the univariate Shepard-Lagrange interpolation
operator
where (yn,k) are the interpolation nodes and
(Lmf)(x;yn,k) is the Lagrange interpolation polynomial
with nodes yn,k,yn,k+1,Ľ,yn,k+m. Then we give
error estimations for various distribution of interpolation nodes.
@article{KJM_2002_24_1_a9,
author = {Radu T. Trimbitas},
title = {Univariate {Shepard-Lagrange} interpolation},
journal = {Kragujevac Journal of Mathematics},
pages = {85 - 94},
publisher = {mathdoc},
volume = {24},
number = {1},
year = {2002},
zbl = {1028.41004},
url = {http://geodesic.mathdoc.fr/item/KJM_2002_24_1_a9/}
}
Radu T. Trimbitas. Univariate Shepard-Lagrange interpolation. Kragujevac Journal of Mathematics, Tome 24 (2002) no. 1. http://geodesic.mathdoc.fr/item/KJM_2002_24_1_a9/