A general method for constructing quasi-interpolants from B-splines

DOI10.1016/j.cam.2010.01.017zbMath1190.65016OpenAlexW2061727736MaRDI QIDQ970432

M. J. Ibáñez, Driss Sbibih, Abdelaziz Abbadi, Domingo Barrera

Publication date: 17 May 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2010.01.017

zbMATH Keywords

error estimatesB-splinesquasi-interpolationbox splinesmultivariate splinedifferential quasi-interpolantsdiscrete quasi-interpolantsapproximation powerintegral quasi-interpolants

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Spline approximation (41A15)

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Cites Work

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• Near minimally normed spline quasi-interpolants on uniform partitions
• On Chebyshev-type integral quasi-interpolation operators
• A characterization of multivariate quasi-interpolation formulas and its applications
• Optimal bivariate \(C^{1}\) cubic quasi-interpolation on a type-2 triangulation
• Near-best univariate spline discrete quasi-interpolants on nonuniform partitions
• On near-best discrete quasi-interpolation on a four-directional mesh
• Translates of multivariate splines
• A multivariate analog of Marsden's identity and a quasi-interpolation scheme
• The polynomials in the linear span of integer translates of a compactly supported function
• Box splines
• On measuring the efficiency of kernel operators in \(L_p(\mathbb R^d)\)
• Quasi-interpolants associated with \(H\)-splines on a three-direction mesh
• Bernstein-Bézier representation and near-minimally normed discrete quasi-interpolation operators
• On Chebyshev-type discrete quasi-interpolants
• Near-best quasi-interpolants associated with \(H\)-splines on a three-direction mesh
• Minimizing the quasi-interpolation error for bivariate discrete quasi-interpolants
• Spline Functions on Triangulations
• A Natural Formulation of Quasi-Interpolation by Multivariate Splines
• A first-order blending method for triangles based upon cubic interpolation
• Scattered Data Interpolation: Tests of Some Method
• Multivariate Splines with Nondegenerate Partitions

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