{
  "id": "1601.03180",
  "version": "v1",
  "published": "2016-01-13T09:31:17.000Z",
  "updated": "2016-01-13T09:31:17.000Z",
  "title": "Series representations of the remainders in the expansion for certain trigonometric and hyperbolic functions with applications",
  "authors": [
    "C. -P. Chen",
    "R. B. Paris"
  ],
  "comment": "28 pages, 0 figures",
  "categories": [
    "math.CA"
  ],
  "abstract": "In this paper, we present series representations of the remainders in the expansions for certain trigonometric and hyperbolic functions. By using the obtained results, we establish some inequalities for trigonometric and hyperbolic functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-01-13T09:31:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B68",
      "26D05"
    ],
    "keywords": [
      "hyperbolic functions",
      "series representations",
      "trigonometric"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160103180C"
    }
  }
}