APPROXIMATION OF FRACTALS GENERATED BY INTEGRAL OPERATORS
ION CHIŢESCU(1), HORIA GEORGESCU(2), RADU MICULESCU(3)
Faculty of Mathematics and Informatics Bucharest University Bucharest, Academiei Str., No. 14, Romania
e-mail addresses: 1. ionchitescu@yahoo.com, 2. g_horia@fmi.unibuc.ro, 3. miculesc@yahoo.com
Abstract
We present some results concerning fractals generated by an iterated function system which is formed using integral operators on the infinite dimensional space of continuous functions on a compact interval. We approximate the fractal via a finite approximant set and project this approximant set in two dimensions, in order to make possible the visualization of the fractal.