{
  "id": "math-ph/0208038",
  "version": "v3",
  "published": "2002-08-26T09:05:57.000Z",
  "updated": "2004-01-30T13:52:15.000Z",
  "title": "Continuity of a class of entropies and relative entropies",
  "authors": [
    "Jan Naudts"
  ],
  "comment": "Revised version, with change of title and changes in notations",
  "journal": "Rev. Math. Phys. 16(6), 809-822 (2004).",
  "categories": [
    "math-ph",
    "cond-mat.stat-mech",
    "math.MP"
  ],
  "abstract": "The present paper studies continuity of generalized entropy functions and relative entropies defined using the notion of a deformed logarithmic function. In particular, two distinct definitions of relative entropy are discussed. As an application, all considered entropies are shown to satisfy Lesche's stability condition. The entropies of Tsallis' nonextensive thermostatistics are taken as examples.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2004-01-30T13:52:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82B30",
      "94A17"
    ],
    "keywords": [
      "relative entropy",
      "satisfy lesches stability condition",
      "paper studies continuity",
      "generalized entropy functions",
      "distinct definitions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.ph...8038N"
    }
  }
}