{
  "id": "1611.01905",
  "version": "v1",
  "published": "2016-11-07T06:35:42.000Z",
  "updated": "2016-11-07T06:35:42.000Z",
  "title": "Some refinements of Hermite-Hadamard inequality and an open problem",
  "authors": [
    "Slavko Simic"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "We presented here a refinement of Hermite-Hadamard inequality as a linear combination of its end-points. The problem of best possible constants is closely connected with well known Simpson's rule in numerical integration. It is solved here for a wide class of convex functions, but not in general. Some supplementary results are also given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-11-07T06:35:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26D07",
      "26D15"
    ],
    "keywords": [
      "hermite-hadamard inequality",
      "open problem",
      "refinement",
      "supplementary results",
      "linear combination"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}