{
  "id": "1402.0613",
  "version": "v1",
  "published": "2014-02-04T04:09:10.000Z",
  "updated": "2014-02-04T04:09:10.000Z",
  "title": "Bounds of the logarithmic mean",
  "authors": [
    "Shigeru Furuichi",
    "Kenjiro Yanagi"
  ],
  "comment": "The second assertion in (i) of Proposition 5.2 was modified. (This modification shows our means are better bounds than the standard Riemann sum for the logarithmic mean.)",
  "journal": "Journal of Inequalities and Applications, 2013/ 535, 1-11",
  "doi": "10.1186/1029-242X-2013-535",
  "categories": [
    "math.FA"
  ],
  "abstract": "We give tight bounds for logarithmic mean. We also give new Frobenius norm inequalities for two positive semidefinite matrices. In addition, we give some matrix inequalities on matrix power mean.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-02-04T04:09:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "logarithmic mean",
      "matrix power mean",
      "frobenius norm inequalities",
      "matrix inequalities",
      "tight bounds"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1402.0613F"
    }
  }
}