Geodesic
Univariate Shepard-Lagrange interpolation
Kragujevac Journal of Mathematics, Tome 24 (2002), p. 85

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Zbl
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,�,yn,k+m. Then we give error estimations for various distribution of interpolation nodes.
Classification : 41A05 65D05
Keywords: Shepard-Lagrange interpolation operator, Lagrange interpolation, interpolation error, orthogonal polynomials 
Radu T. Trimbitas. Univariate Shepard-Lagrange interpolation. Kragujevac Journal of Mathematics, Tome 24 (2002), p. 85 . http://geodesic.mathdoc.fr/item/KJM_2002_24_a9/
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     author = {Radu T. Trimbitas},
     title = {Univariate {Shepard-Lagrange} interpolation},
     journal = {Kragujevac Journal of Mathematics},
     pages = {85 },
     year = {2002},
     volume = {24},
     zbl = {1028.41004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2002_24_a9/}
}
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