A note on the limited stability of surface spline interpolation

Abstract

Given a finite subset Ξ ⊂ R and data |Ξ , the surface spline interpolant to the data |Ξ is a function s which minimizes a certain seminorm subject to the interpolation conditions |Ξ = |Ξ . It is known that surface spline interpolation is stable on the Sobolev space W in the sense that ‖s‖L∞(Ω) ≤ const ‖f‖Wm , where m is an integer parameter which specifies… (More)
DOI: 10.1016/j.jat.2006.02.004

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Cite this paper

@article{Johnson2006ANO, title={A note on the limited stability of surface spline interpolation}, author={Michael J. Johnson}, journal={Journal of Approximation Theory}, year={2006}, volume={141}, pages={182-188} }