{
  "id": "1805.09883",
  "version": "v1",
  "published": "2018-05-24T20:14:47.000Z",
  "updated": "2018-05-24T20:14:47.000Z",
  "title": "Covering numbers for bounded variation functions",
  "authors": [
    "Prerona Dutta",
    "Khai T. Nguyen"
  ],
  "comment": "14 pages",
  "categories": [
    "math.FA"
  ],
  "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 ${\\bf L}^1$-distance.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-05-24T20:14:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bounded variation function",
      "covering numbers",
      "minimal number",
      "lower estimates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}