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On pointwise stability of cubic smoothing splines with nonuniform sampling points. (English) Zbl 0758.41012
Summary: A general technique is developed for analyzing pointwise stability of smoothing splines when the design points are unevenly spaced. In particular, it is not assumed that the distributions of design points approach a limit. The technique can also be applied to the analysis of pointwise convergence.
41A15 Spline approximation
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