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Keywords:
interpolation; smoothing; quadratic spline
interpolation; smoothing; quadratic spline
Summary:
The extremal property of quadratic splines interpolating the first derivatives is proved. Quadratic spline smoothing the given values of the first derivative, depending on the knot weights $w_i$ and smoothing parameter $\alpha$, is then studied. The algorithm for computing appropriate parameters of such splines is given and the dependence on the smoothing parameter $\alpha$ is mentioned.
References:
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