{
  "id": "1409.5081",
  "version": "v1",
  "published": "2014-09-15T10:23:59.000Z",
  "updated": "2014-09-15T10:23:59.000Z",
  "title": "The necessary and sufficient conditions for representing Lipschitz multivariable function as a difference of two convex functions",
  "authors": [
    "Igor Proudnikov"
  ],
  "comment": "in Russian",
  "categories": [
    "math.FA"
  ],
  "abstract": "In the article the necessary and sufficient conditions for a representation of Lipschitz function of more than two variables as a difference of two convex functions are formulated. An algorithm of this representation is given. The outcome of this algorithm is a sequence of pairs of convex functions that converge uniformly to a pair of convex functions if the conditions of the formulated theorems are satisfied. A geometric interpretation is also given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-15T10:23:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "convex functions",
      "representing lipschitz multivariable function",
      "sufficient conditions",
      "difference",
      "representation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "ru",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.5081P"
    }
  }
}