Further analysis of Multivariate fractal functions

Abstract

The aim of this paper is to characterize a fractal operator associated with multivariate fractal interpolation functions (FIFs) and study the several properties of this fractal operator. Further, with the help of this operator, we characterize a latest category of functions and study their approximation aspects. The basic characteristics of this multivariate fractal operator's are given in several ways in this note. The extension of this fractal operator to the $L^p$-spaces for $ p \ge 1$ are also examined. Multivariate continuous fractal functions approximation characteristics are also examined.