Displaying similar documents to “Natural and smoothing quadratic spline. (An elementary approach)”

Quadratic splines smoothing the first derivatives

Jiří Kobza (1992)

Applications of Mathematics

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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 α , is then studied. The algorithm for computing appropriate parameters of such splines is given and the dependence on the smoothing parameter α is mentioned.