Approximation by non-self-referential bivariable fractal functions

Fractal functions defined through iterated function systems provide a new technique for the approximation of functions. Non-self-referential bivariable fractal functions which approximate a given continuous function defined on a rectangle in R 2 are developed herein. Moreover, by imposing suitable conditions on the scaling factors and on base functions, we study C r -non-self-referential bivariable fractal functions.