Near minimally normed spline quasi-interpolants on uniform partitions

DOI10.1016/j.cam.2004.11.031zbMath1074.65014OpenAlexW2003706524MaRDI QIDQ557732

M. J. Ibáñez, Driss Sbibih, Domingo Barrera, Paul Sablonniere

Publication date: 30 June 2005

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.2004.11.031

zbMATH Keywords

B-splinesinfinity normdiscrete and integral quasi-interpolants

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Spline approximation (41A15)

Related Items (21)

Computing the range of values of real functions using B-spline form ⋮ Near-best \(C^2\) quartic spline quasi-interpolants on type-6 tetrahedral partitions of bounded domains ⋮ A multinomial spline approximation scheme using spline quasi-interpolants ⋮ Quasi-interpolation operators based on the trivariate seven-direction \(C^2\) quartic box spline ⋮ Quasi-interpolation by \(C^1\) quartic splines on type-1 triangulations ⋮ A general spline differential quadrature method based on quasi-interpolation ⋮ Increasing the approximation order of spline quasi-interpolants ⋮ Bernstein-Bézier representation and near-minimally normed discrete quasi-interpolation operators ⋮ Trivariate near-best blending spline quasi-interpolation operators ⋮ A trivariate near-best blending quadratic quasi-interpolant ⋮ On Chebyshev-type discrete quasi-interpolants ⋮ A multilevel univariate cubic spline quasi-interpolation and application to numerical integration ⋮ A general method for constructing quasi-interpolants from B-splines ⋮ Error analysis for a non-standard class of differential quasi-interpolants ⋮ On the construction of trivariate near-best quasi-interpolants based on \(C^2\) quartic splines on type-6 tetrahedral partitions ⋮ On Chebyshev-type integral quasi-interpolation operators ⋮ Minimizing the quasi-interpolation error for bivariate discrete quasi-interpolants ⋮ Near best refinable quasi-interpolants ⋮ Near-best univariate spline discrete quasi-interpolants on nonuniform partitions ⋮ On near-best discrete quasi-interpolation on a four-directional mesh ⋮ A progressive construction of univariate spline quasi-interpolants on uniform partitions

Cites Work

• On minimal and quasi-minimal supported bivariate splines
• Local spline approximation methods
• A practical guide to splines
• Box splines
• Interpolation and approximation by polynomials
• Spline approximation by quasiinterpolants
• On uniform approximation by splines
• Central factorial numbers; their main properties and some applications.
• Positive spline operators and orthogonal splines
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