English

Fractal Interpolation over Curves

Functional Analysis 2022-09-05 v1

Abstract

This paper introduces the novel concept of fractal interpolation over curves in Banach spaces. The contents are based on the usual methodologies involving the fractal interpolation problem over intervals but the current approach considerably extends and generalizes them and paves the way to fractal interpolation over Banach submanifolds.

Keywords

Cite

@article{arxiv.2209.01033,
  title  = {Fractal Interpolation over Curves},
  author = {Peter R. Massopust},
  journal= {arXiv preprint arXiv:2209.01033},
  year   = {2022}
}

Comments

arXiv admin note: text overlap with arXiv:2203.07935

R2 v1 2026-06-28T00:38:11.220Z