A variational approach to spline functions theory.
Micula, G. (2003)
Rendiconti del Seminario Matematico
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Micula, G. (2003)
Rendiconti del Seminario Matematico
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Jiří Kobza, Pavel Ženčák (1997)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Jiří Kobza (1991)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Jiří Kobza, Radek Kučera (1993)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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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 and smoothing parameter , is then studied. The algorithm for computing appropriate parameters of such splines is given and the dependence on the smoothing parameter is mentioned.