{
  "id": "1704.00670",
  "version": "v1",
  "published": "2017-04-03T16:36:59.000Z",
  "updated": "2017-04-03T16:36:59.000Z",
  "title": "A short proof of a duality theorem and another application of an intersection formula on dual cones",
  "authors": [
    "Dániel Virosztek"
  ],
  "categories": [
    "math.CA",
    "math.FA"
  ],
  "abstract": "We give a succinct proof of a duality theorem obtained by R\\'ev\\'esz in $1991$ which concerns extremal quantities related to trigonomertic polynomials. The key tool of our new proof is an intersection formula on dual cones in real Banach spaces. We show another application of this intersection formula which is related to the integral estimates of non-negative positive definite functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-03T16:36:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "43A25",
      "43A35"
    ],
    "keywords": [
      "intersection formula",
      "duality theorem",
      "dual cones",
      "short proof",
      "application"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}