Fractal splines
- Sebastián, María Victoria
- Navascués Sanagustín, María Antonia
- Madaune-Tort, Monique (coord.)
Editorial: Seminario Matemático "García de Galdeano" ; Universidad de Zaragoza
ISBN: 84-7733-871-X
Año de publicación: 2006
Páginas: 161-168
Congreso: Jornadas Zaragoza-Pau de Matemática Aplicada y Estadística (9. 2005. Jaca)
Tipo: Aportación congreso
Resumen
Fractal methodology provides a general setting for the understanding of realworld phenomena. In particular, the classical methods of real-data interpolation can be generalized by means of fractal techniques. In this paper we use this kind of procedures to define a family of interpolating mappings associated to a cubic spline. This fact adds a ¿degree of freedom¿ to the function, allowing to preserve or modify its properties. In particular, the elements of the class can be defined so that the smoothness of the original be preserved. Under some hypotheses, and using Hermite polynomial techniques, bounds of the interpolation error for function and derivatives are obtained