{
  "id": "2001.05088",
  "version": "v1",
  "published": "2020-01-15T00:25:50.000Z",
  "updated": "2020-01-15T00:25:50.000Z",
  "title": "On the operator Aczél inequality and its reverse",
  "authors": [
    "Shigeru Furuichi",
    "Mohammad Reza Jabbarzadeh",
    "Venus Kaleibary"
  ],
  "comment": "10 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper, we present some operator and eigenvalue inequalities involving operator monotone, doubly concave and doubly convex functions. These inequalities provide some variants of operator Acz\\'{e}l inequality and its reverse via generalized Kantorovich constant.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-01-15T00:25:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A63",
      "47A64",
      "15A60",
      "26D15"
    ],
    "keywords": [
      "operator aczél inequality",
      "operator monotone",
      "doubly convex functions",
      "generalized kantorovich constant",
      "eigenvalue inequalities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}