English

Covering numbers for bounded variation functions

Functional Analysis 2018-05-28 v1

Abstract

In this paper, we provide upper and lower estimates for the minimal number of functions needed to represent a bounded variation function with an accuracy of epsilon with respect to L1{\bf L}^1-distance.

Keywords

Cite

@article{arxiv.1805.09883,
  title  = {Covering numbers for bounded variation functions},
  author = {Prerona Dutta and Khai T. Nguyen},
  journal= {arXiv preprint arXiv:1805.09883},
  year   = {2018}
}

Comments

14 pages

R2 v1 2026-06-23T02:07:43.370Z