Geodesic
Univariate Shepard-Lagrange interpolation
Kragujevac Journal of Mathematics, Tome 24 (2002), p. 85 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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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 
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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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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/