{
  "id": "1203.4454",
  "version": "v1",
  "published": "2012-03-20T14:46:33.000Z",
  "updated": "2012-03-20T14:46:33.000Z",
  "title": "Sharp bounds for the difference between the arithmetic and geometric means",
  "authors": [
    "J. M. Aldaz"
  ],
  "comment": "7 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "We present sharp bounds for $\\sum_{i=1}^n \\alpha_i x_i - \\prod_{i=1}^n x_i^{\\alpha_i}$ in terms of the variance of the vector $(x_1^{1/2},...,x_n^{1/2})$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-03-20T14:46:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26D15"
    ],
    "keywords": [
      "sharp bounds",
      "geometric means",
      "difference"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1203.4454A"
    }
  }
}