Fractal methodology provides a general frame for the understanding of real-world
phenomena. In particular, the classical methods of real-data interpolation can be …

Fractal interpolants constructed through iterated function systems prove more general than
classical interpolants. In this paper, we assign a family of fractal functions to several classes …

A general procedure to define nonsmooth fractal versions of classical trigonometric
approximants is proposed. The systems of trigonometric polynomials in the space of …

In this paper, we introduce the concept of the α-fractal function and fractal approximation for
a set-valued continuous map defined on a closed and bounded interval of real numbers …

Fractal interpolation provides an efficient way to describe data that have an irregular or self-
similar structure. Fractal interpolation literature focuses mainly on functions, ie on data points …

The fractal interpolation functions with appropriate iterated function systems provide a
method to perturb and approximate a continuous function on a compact interval I. This …

Constructions of the (global) fractal interpolation functions on standard function spaces got a
lot of attention in the last centuries. Motivated by the newly introduced local fractal functions …

The interpolants used classically have a simple geometric structure and in some cases they
do not describe the fine microscopic pattern that some experimental signals display. The …

Fractal Interpolation functions provide natural deterministic approximation of complex
phenomena. Cardinal cubic splines are developed through moments (ie second derivative …

Recurrent fractal interpolation functions are very useful in modelling irregular (non-smooth)
data. Two methods that use bounding volumes and one that uses the concept of box …