{
  "id": "1809.01820",
  "version": "v1",
  "published": "2018-09-06T04:51:17.000Z",
  "updated": "2018-09-06T04:51:17.000Z",
  "title": "Some Inequalities involving Heron and Heinz Means of two Convex Functionals",
  "authors": [
    "Mustapha Raïssouli",
    "Shigeru Furuichi"
  ],
  "comment": "17 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper we first introduce the Heron and Heinz means of two convex functionals. Afterwards, some inequalities involving these functional means are investigated. The operator versions of our theoretical functional results are immediately deduced. We also obtain new refinements of some known operator inequalities via our functional approach in a fast and nice way.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-06T04:51:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46N10",
      "46A20",
      "47A63",
      "47N10"
    ],
    "keywords": [
      "heinz means",
      "convex functionals",
      "nice way",
      "operator versions",
      "functional means"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}