{
  "id": "1406.5409",
  "version": "v1",
  "published": "2014-06-19T14:12:47.000Z",
  "updated": "2014-06-19T14:12:47.000Z",
  "title": "Inequalities of Hermite-Hadamard type for extended $s$-convex functions and applications to means",
  "authors": [
    "Bo-Yan Xi",
    "Feng Qi"
  ],
  "comment": "17 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "In the paper, the authors introduce a new concept \"extended $s$-convex functions\", establish some new integral inequalities of Hermite-Hadamard type for this kind of functions, and apply these inequalities to derive some inequalities of special means.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-06-19T14:12:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26A51",
      "26D15",
      "26D20",
      "26E60",
      "41A55"
    ],
    "keywords": [
      "hermite-hadamard type",
      "convex functions",
      "applications",
      "integral inequalities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1406.5409X"
    }
  }
}