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Application of the Cauchy-Buniakovski-Schwarz’s Inequality to an Optimal Property for Cubic Splines

Domenii publicaţii > Matematica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: Bica, A. M., Cãuş, V. A., Fechete, I., Mureşan

Editorial: Journal of Computational Analysis and Applications, 9, p.45-53, 2007.

Rezumat:

It is introduced the notions of oscillation of interpolation type and
quadratic oscillation in average for a piecewise interpolation function. Af-
terwards, is obtained the cubic spline function of interpolation generated
by initial conditions which have minimal quadratic oscillation in aver-
age, using the least squares method and Cauchy-Buniakowski-Schwarz’s
inequality

Cuvinte cheie: spline, oscilatii de tip interpolator // splines, oscillation of interpolation type