Quadratic splines smoothing the first derivatives
Kobza, Jiří
Applications of Mathematics, Tome 37 (1992), p. 149-156 / Harvested from Czech Digital Mathematics Library
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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 $\alpha$, is then studied. The algorithm for computing appropriate parameters of such splines is given and the dependence on the smoothing parameter $\alpha$ is mentioned.

Publié le : 1992-01-01
Classification:  41A15,  65D05,  65D07,  65D10 
@article{104498,
     author = {Ji\v r\'\i\ Kobza},
     title = {Quadratic splines smoothing the first derivatives},
     journal = {Applications of Mathematics},
     volume = {37},
     year = {1992},
     pages = {149-156},
     zbl = {0757.65006},
     mrnumber = {1149164},
     language = {en},
     url = {http://dml.mathdoc.fr/item/104498}
}

Kobza, Jiří. Quadratic splines smoothing the first derivatives. Applications of Mathematics, Tome 37 (1992) pp. 149-156. http://gdmltest.u-ga.fr/item/104498/

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