Fractal Interpolation over Nonlinear Partitions
Metric Geometry
2022-08-31 v1
Abstract
This paper introduces the fractal interpolation problem defined over domains with a nonlinear partition. This setting generalizes known methodologies regarding fractal functions and provides a new holistic approach to fractal interpolation. In this context, perturbations of nonlinear partition functions are considered and sufficient conditions for the existence of a unique solution of the underlying fractal interpolation problem for some classes of function spaces are given.
Cite
@article{arxiv.2203.07935,
title = {Fractal Interpolation over Nonlinear Partitions},
author = {Peter R. Massopust},
journal= {arXiv preprint arXiv:2203.07935},
year = {2022}
}