English

Dimension preserving approximation

Metric Geometry 2020-03-16 v2

Abstract

This article introduces the novel notion of dimension preserving approximation for continuous functions defined on [0,1][0,1] and initiates the study of it. Restrictions and extensions of continuous functions in regards to fractal dimensions are also investigated.

Keywords

Cite

@article{arxiv.2002.05061,
  title  = {Dimension preserving approximation},
  author = {S. Verma and Peter R. Massopust},
  journal= {arXiv preprint arXiv:2002.05061},
  year   = {2020}
}