Interpolation in minimum semi-norm and multivariate B-splines

DOI10.1016/0021-9045(83)90047-3zbMath0518.41004OpenAlexW2029247539MaRDI QIDQ1053894

Tim N. T. Goodman

Publication date: 1983

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(83)90047-3

zbMATH Keywords

Kergin interpolationmultivariate B-splinenatural splines

Mathematics Subject Classification ID

Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Spline approximation (41A15)

Related Items (7)

Divided differences, hyperbolic equations, and lifting distributions ⋮ Complex mean-value interpolation and approximation of holomorphic functions ⋮ On the convergence of Kergin and Hakopian interpolants at Leja sequences for the disk ⋮ A system of differential equations connected with a polynomial class of shifts of a box spline ⋮ On polynomial interpolation of bivariate harmonic polynomials ⋮ Scale of mean value multivariate Pade interpolations ⋮ Multivariate Hermite interpolation by algebraic polynomials: A survey

Cites Work

• Multivariate interpolation at arbitrary points made simple
• A formula for Kergin interpolation in \(R^ k\).
• A natural interpolation of \(C^ k \)functions
• On the Linear Independence of Multivariate B-Splines. II: Complete Configurations
• Multivariate Spline Functions, B-Spline Basis and Polynomial Interpolations
• On Multivariate B-Splines
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