{
  "id": "1301.0699",
  "version": "v2",
  "published": "2013-01-04T10:33:42.000Z",
  "updated": "2013-05-22T04:49:04.000Z",
  "title": "Convexity properties of generalized trigonometric and hyperbolic functions",
  "authors": [
    "Árpád Baricz",
    "Barkat Ali Bhayo",
    "Riku Klén"
  ],
  "comment": "9 pages, 1 figure",
  "categories": [
    "math.CA"
  ],
  "abstract": "We study the power mean inequality of the generalized trigonometric and hyperbolic functions with two parameters. The generalized $p$-trigonometric and $(p, q)$-trigonometric functions were introduced by P. Lindqvist and S. Takeuchi, respectively.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-05-22T04:49:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33C99",
      "33B99"
    ],
    "keywords": [
      "hyperbolic functions",
      "generalized trigonometric",
      "convexity properties",
      "power mean inequality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1301.0699B"
    }
  }
}