A study of the uniform accuracy of univariate thin plate spline interpolation

Details A study of the uniform accuracy of univariate thin plate spline interpolation A study of the uniform accuracy of univariate thin plate spline interpolation

2011-07-21

arxiv.org/abs/1107.4191v1

Mathematics

Numerical Analysis

15 pages and 2 figures

Scientific paper

The usual power function error estimates do not capture the true order of uniform accuracy for thin plate spline interpolation to smooth data functions in one variable. In this paper we propose a new type of power function and we show, through numerical experiments, that the error estimate based upon it does match the expected order. We also study the relationship between the new power function and the Peano kernel for univariate thin plate spline interpolation.

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