{
  "id": "1401.4863",
  "version": "v1",
  "published": "2014-01-20T11:22:21.000Z",
  "updated": "2014-01-20T11:22:21.000Z",
  "title": "Functional inequalities for generalized inverse trigonometric and hyperbolic functions",
  "authors": [
    "Árpád Baricz",
    "Barkat Ali Bhayo",
    "Tibor K. Pogány"
  ],
  "comment": "12 pages",
  "journal": "Journal of Mathematical Analysis and Applications 417 (2014) 244-259",
  "categories": [
    "math.CA"
  ],
  "abstract": "Various miscellaneous functional inequalities are deduced for the so-called generalized inverse trigonometric and hyperbolic functions. For instance, functional inequalities for sums, difference and quotient of generalized inverse trigonometric and hyperbolic functions are given, as well as some Gr\\\"unbaum inequalities with the aid of the classical Bernoulli inequality. Moreover, by means of certain already derived bounds, bilateral bounding inequalities are obtained for the generalized hypergeometric ${}_3F_2$ Clausen function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-01-20T11:22:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33B99",
      "26D15",
      "33C20",
      "33C99"
    ],
    "keywords": [
      "generalized inverse trigonometric",
      "hyperbolic functions",
      "miscellaneous functional inequalities",
      "classical bernoulli inequality",
      "bilateral bounding inequalities"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1401.4863B"
    }
  }
}