{
  "id": "2204.05012",
  "version": "v1",
  "published": "2022-04-11T11:25:28.000Z",
  "updated": "2022-04-11T11:25:28.000Z",
  "title": "Primitives of continuous functions via polynomials",
  "authors": [
    "Patrik Lundström"
  ],
  "categories": [
    "math.CA",
    "math.HO"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-04-11T11:25:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "continuous functions",
      "elementary self-contained folkloristic proof",
      "unit interval",
      "bernstein polynomials",
      "primitive functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}