  Fractal functions that produce smooth and non-smooth approximants constitute
an advancement to classical nonrecursive methods of approximation. In both
classical and fractal approximation methods emphasis is given for investigation
of continuous approximants whereas much real data demand discontinuous models.
This article intends to point out that many of the results on fractal functions
in the traditional setting can be immediately extended to the discontinuous
case. Another topic is the study of area matching properties of integrable
fractal functions in order to introduce the concept of fractal histopolation.
