Maximal approximation order for a box-spline semi-cardinal interpolation scheme on the three-direction mesh

DOI10.1007/S10444-003-2601-7zbMath1078.41011OpenAlexW2091284938MaRDI QIDQ1767058

Malcolm A. Sabin, Aurelian jun. Bejancu

Publication date: 4 March 2005

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-003-2601-7

zbMATH Keywords

boundary conditionsdifference equationsapproximation ordernot-a-knotWiener-Hopfmultivariable interpolationsemi-cardinal

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Difference operators (39A70) Rate of convergence, degree of approximation (41A25) Spline approximation (41A15)

Related Items (3)

Finite difference end conditions and semi-cardinal interpolation with quintic B-splines ⋮ Wiener-Hopf difference equations and semi-cardinal interpolation with integrable convolution kernels ⋮ Semi-cardinal polyspline interpolation with Beppo Levi boundary conditions

Cites Work

• Bivariate cardinal interpolation by splines on a three-direction mesh
• Cardinal interpolation and spline functions. VI: Semi-cardinal interpolation and quadrature formulae
• Mathematics of Surfaces
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