{
  "id": "1402.3006",
  "version": "v1",
  "published": "2014-02-12T23:37:50.000Z",
  "updated": "2014-02-12T23:37:50.000Z",
  "title": "On monotonicity of some functionals under rearrangements",
  "authors": [
    "S. V. Bankevich",
    "A. I. Nazarov"
  ],
  "comment": "22 pages. Russian version of this preprint is published in November 2013 and available at http://www.mathsoc.spb.ru/preprint/2013/index.html",
  "categories": [
    "math.OC"
  ],
  "abstract": "We consider the Polya--Szeg\\\"o type weighted inequality. We prove this inequality for monotone rearrangement and for Steiner's symmetrization.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-02-12T23:37:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49K05",
      "49N99"
    ],
    "keywords": [
      "monotonicity",
      "functionals",
      "type weighted inequality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1402.3006B"
    }
  }
}