{
  "id": "1801.08634",
  "version": "v1",
  "published": "2018-01-25T23:55:14.000Z",
  "updated": "2018-01-25T23:55:14.000Z",
  "title": "New refinements of operator inequalities",
  "authors": [
    "Shigeru Furuichi",
    "Hamid Reza Moradi",
    "Mohammad Sababheh"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "New sharp multiplicative reverses of the operator means inequalities are presented, with a simple discussion of squaring an operator inequality. As a direct consequence, we extend the operator P\\'olya-Szeg\\\"o inequality to arbitrary operator means. Furthermore, we obtain some new lower and upper bounds for the Tsallis relative operator entropy, operator monotone functions and positive linear maps.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-01-25T23:55:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A63",
      "46L05",
      "47A60"
    ],
    "keywords": [
      "operator inequality",
      "refinements",
      "operator monotone functions",
      "tsallis relative operator entropy",
      "operator means inequalities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}