Super Fractal Interpolation Functions

Details Super Fractal Interpolation Functions Super Fractal Interpolation Functions

2012-01-17

arxiv.org/abs/1201.3491v1

Mathematics

Dynamical Systems

20 pages 3 figures

Scientific paper

In the present work, the notion of Super Fractal Interpolation Function (SFIF) is introduced for finer simulation of the objects of the nature or outcomes of scientific experiments that reveal one or more structures embedded in to another. In the construction of SFIF, an IFS is chosen from a pool of several IFS at each level of iteration leading to implementation of the desired randomness and variability in fractal interpolation of the given data. Further, an expository description of our investigations on the integral, the smoothness and determination of conditions for existence of derivatives of a SFIF is given in the present work.

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