{
  "id": "2311.00912",
  "version": "v1",
  "published": "2023-11-02T00:59:20.000Z",
  "updated": "2023-11-02T00:59:20.000Z",
  "title": "Whitney-type estimates for convex functions",
  "authors": [
    "Andriy Prymak",
    "Jaskaran Singh"
  ],
  "categories": [
    "math.CA",
    "cs.NA",
    "math.NA"
  ],
  "abstract": "We study Whitney-type estimates for approximation of convex functions in the uniform norm on various convex multivariate domains while paying a particular attention to the dependence of the involved constants on the dimension and the geometry of the domain.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-11-02T00:59:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "41A10",
      "41A25",
      "41A63",
      "52A20",
      "52A40"
    ],
    "keywords": [
      "convex functions",
      "study whitney-type estimates",
      "convex multivariate domains",
      "uniform norm",
      "approximation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}