{
  "id": "1206.5494",
  "version": "v1",
  "published": "2012-06-24T14:06:04.000Z",
  "updated": "2012-06-24T14:06:04.000Z",
  "title": "Sharp bounds for the second Seiffert mean in terms of power means",
  "authors": [
    "Zhen-Hang Yang"
  ],
  "comment": "10 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "For a,b>0 with a\\not=b, let T(a,b) denote the second Seiffert mean defined by T(a,b)=((a-b)/(2arctan((a-b)/(a+b)))) and A_{r}(a,b) denote the r-order power mean. We present the sharp bounds for the second Seiffert mean in terms of power means: A_{p_1}(a,b)<T(a,b)\\leqA_{p_2}(a,b), where p_1= log_{{\\pi}/2}2 and p_2=5/3 can not be improved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-06-24T14:06:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26E60",
      "26D05",
      "26A48"
    ],
    "keywords": [
      "sharp bounds",
      "r-order power mean",
      "second seiffert mean"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1206.5494Y"
    }
  }
}