{
  "id": "1001.5055",
  "version": "v2",
  "published": "2010-01-27T22:11:41.000Z",
  "updated": "2010-10-07T14:00:45.000Z",
  "title": "Comparison of differences between arithmetic and geometric means",
  "authors": [
    "J. M. Aldaz"
  ],
  "comment": "Improvements on the bounds after becoming aware of the paper by Sever S. Dragomir, \"Bounds for the normalised Jensen functional\", Bull. Austral. Math. Soc. 74 (2006), no. 3, 471--478. Correction of an error and of some typos",
  "categories": [
    "math.CA"
  ],
  "abstract": "We complement a recent result of S. Furuichi, by showing that the differences $\\sum_{i=1}^n \\alpha_i x_i - \\prod_{i=1}^n x_i^{\\alpha_i}$ associated to distinct sequences of weights are comparable, with constants that depend on the smallest and largest quotients of the weights.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-10-07T14:00:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26D15"
    ],
    "keywords": [
      "geometric means",
      "differences",
      "comparison",
      "arithmetic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1001.5055A"
    }
  }
}