Fractal dimensions and approximations of fractal interpolation functions

Abstract

A fractal set is a union of many smaller copy of itself and it has a highly irregular structure Using Hutchinson s operator Barnsley 6 introduced Fractal Interpolation Function FIF via certain Iterated Function System IFS The FIF is continuous and self a ne in nature By de ning IFS suitably one can construct various form of fractal functions including non self a ne and partially self a ne and partially non self a ne FIFs For any continuous function f the corresponding fractal ana