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Erschienen in:
1986 | OriginalPaper | Buchkapitel
Approximation by Spline Functions with Free Nodes
verfasst von : Dr. Dietrich Braess
Erschienen in: Nonlinear Approximation Theory
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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In the last two decades, approximation by spline functions has become an important tool in applied mathematics, since the accuracy of the approximation depends only on local properties of the given function. As a consequence, spline functions with fixed nodes lead only to weak Haar spaces and the interpolation is governed by an interlacing property between the nodes and the points of interpolation. Nevertheless, a best approximation can be characterized in terms of alternants (with a possible degenerate length).