Smooth fractal interpolation
@article{Navascus2006SmoothFI, title={Smooth fractal interpolation}, author={Mar{\'i}a Antonia Navascu{\'e}s and Mar{\'i}a Victoria Sebasti{\'a}n}, journal={Journal of Inequalities and Applications}, year={2006}, volume={2006}, pages={1-20} }
Fractal methodology provides a general frame for the understanding of real-world phenomena. In particular, the classical methods of real-data interpolation can be generalized by means of fractal techniques. In this paper, we describe a procedure for the construction of smooth fractal functions, with the help of Hermite osculatory polynomials. As a consequence of the process, we generalize any smooth interpolant by means of a family of fractal functions. In particular, the elements of the class…
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