{
  "id": "1911.08984",
  "version": "v1",
  "published": "2019-11-20T15:55:14.000Z",
  "updated": "2019-11-20T15:55:14.000Z",
  "title": "Convexity properties of functions defined on metric Abelian groups",
  "authors": [
    "Włodzimierz Fechner",
    "Zsolt Páles"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "The notions of quasiconvexity, Wright convexity and convexity for functions defined on a metric Abelian group are introduced. Various characterizations of such functions, the structural properties of the functions classes so obtained are established and several well-known results are extended to this new setting.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-11-20T15:55:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26A51",
      "26B25",
      "52A01",
      "22A10"
    ],
    "keywords": [
      "metric abelian group",
      "convexity properties",
      "wright convexity",
      "structural properties",
      "functions classes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}