Estimations de l'erreur d'approximation par splines d'interpolation et d'adjustement d'ordre (m,s). (Approximation error estimates for interpolating and smoothing (m,s)-splines)
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Publication:750788
DOI10.1007/BF01396648zbMath0714.41025OpenAlexW1798600407MaRDI QIDQ750788
María Cruz López de Silanes, Rémi Arcangéli
Publication date: 1989
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/133407
Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Spline approximation (41A15)
Related Items (9)
Almost sure convergence of smoothing \(D^ m\)-splines of noisy data ⋮ Error estimates in Sobolev spaces for interpolating thin plate splines under tension ⋮ Convergence and error estimates for \((m,l,s)\)-splines ⋮ Multivariate approximation by PDE splines ⋮ An extension of a bound for functions in Sobolev spaces, with applications to \((m, s)\)-spline interpolation and smoothing ⋮ Spline approximation of gradient fields: applications to wind velocity fields ⋮ Construction and approximation of surfaces by discrete PDE splines on a polygonal domain ⋮ Estimates for functions in Sobolev spaces defined on unbounded domains ⋮ Error estimates for interpolating by thin plate splines under tension.
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