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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