English

Further analysis of Multivariate fractal functions

Dynamical Systems 2023-10-20 v1

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 LpL^p-spaces for p1 p \ge 1 are also examined. Multivariate continuous fractal functions approximation characteristics are also examined.

Keywords

Cite

@article{arxiv.2310.12276,
  title  = {Further analysis of Multivariate fractal functions},
  author = {Amit Bawalia and Vineeta Basotia and Ajay Prajapati},
  journal= {arXiv preprint arXiv:2310.12276},
  year   = {2023}
}

Comments

05. arXiv admin note: substantial text overlap with arXiv:1810.09701 by other authors

R2 v1 2026-06-28T12:54:51.339Z