{
  "id": "1308.2948",
  "version": "v3",
  "published": "2013-08-13T19:19:38.000Z",
  "updated": "2014-02-17T10:37:29.000Z",
  "title": "Some integral inequalities of Hermite-Hadamard type for functions whose derivatives of $n$-th order are $(α,m)$-convex",
  "authors": [
    "Feng Qi",
    "Muhammad Amer Latif",
    "Wen-Hui Li",
    "Sabir Hussain"
  ],
  "comment": "10 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "In the paper, the authors find some new integral inequalities of Hermite-Hadamard type for functions whose derivatives of the $n$-th order are $(\\alpha,m)$-convex and deduce some known results. As applications of the newly-established results, the authors also derive some inequalities involving special means of two positive real numbers.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-02-17T10:37:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26D15",
      "26A51",
      "26E60",
      "41A55"
    ],
    "keywords": [
      "integral inequalities",
      "hermite-hadamard type",
      "th order",
      "derivatives",
      "positive real numbers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1308.2948Q"
    }
  }
}