{
  "id": "1403.0840",
  "version": "v1",
  "published": "2014-03-04T16:23:24.000Z",
  "updated": "2014-03-04T16:23:24.000Z",
  "title": "On Optimal Recovery of Integrals of Set-Valued Functions",
  "authors": [
    "V. F. Babenko",
    "V. V. Babenko",
    "M. V. Polischuk"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper we consider the problem of optimization of approximate integration of set-valued functions from the class defined by given majorant of their moduli of continuity, using values of the functions at $n$ fixed or free points of their domain. We consider the cases of exact information and information with error.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-03-04T16:23:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "set-valued functions",
      "optimal recovery",
      "approximate integration",
      "free points",
      "exact information"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1403.0840B"
    }
  }
}