English

Primitives of continuous functions via polynomials

Classical Analysis and ODEs 2022-04-12 v1 History and Overview

Abstract

We present an elementary self-contained folkloristic proof, using limits of primitives of Bernstein polynomials, for the existence of primitive functions of continuous functions defined on the unit interval.

Cite

@article{arxiv.2204.05012,
  title  = {Primitives of continuous functions via polynomials},
  author = {Patrik Lundström},
  journal= {arXiv preprint arXiv:2204.05012},
  year   = {2022}
}
R2 v1 2026-06-24T10:44:19.713Z