Countable zipper fractal interpolation and some elementary aspects of the associated nonlinear zipper fractal operator (Q2227527)

The authors extend the notion of affine zipper fractal interpolation function from the case of a finite data set to an infinite sequence of data points. They examine its stability and sensitivity to perturbations in the maps that define the zipper. Moreover, the countable zipper fractal interpolation is used to obtain a parameterized family of zipper fractal functions corresponding to a prescribed real-valued Lipschitz continuous function on a closed bounded real interval.