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Spline smoothing under constraints on derivatives. (English) Zbl 0796.65005

The paper deals with univariate smoothing splines with space constraints imposed on the solution function. Utilizing the \(B\)-spline representation the authors demonstrate how the original problem can be replaced by a stronger one which in turn can be formulated as the least squares approximation problem with linear constraints. An algorithm for computing a smoothing spline is included.

MSC:

65D07 Numerical computation using splines
65D10 Numerical smoothing, curve fitting
Full Text: DOI

References:

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