{
  "id": "1101.2523",
  "version": "v1",
  "published": "2011-01-13T10:05:39.000Z",
  "updated": "2011-01-13T10:05:39.000Z",
  "title": "Turán type inequalities for Krätzel functions",
  "authors": [
    "Árpád Baricz",
    "Dragana Jankov",
    "Tibor K. Pogány"
  ],
  "comment": "9 pages",
  "journal": "Journal of Mathematical Analysis and Applications 388(2) (2012) 716-724",
  "doi": "10.1016/j.jmaa.2011.09.057",
  "categories": [
    "math.CA"
  ],
  "abstract": "Complete monotonicity, Laguerre and Tur\\'an type inequalities are established for the so-called Kr\\\"atzel function $Z_{\\rho}^{\\nu},$ defined by $$Z_{\\rho}^{\\nu}(u)=\\int_0^{\\infty}t^{\\nu-1}e^{-t^{\\rho}-\\frac{u}{t}}\\dt,$$ where $u>0$ and $\\rho,\\nu\\in\\mathbb{R}.$ Moreover, we prove the complete monotonicity of a determinant function of which entries involve the Kr\\\"atzel function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-01-13T10:05:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33C15",
      "26D07"
    ],
    "keywords": [
      "turán type inequalities",
      "krätzel functions",
      "complete monotonicity",
      "turan type inequalities"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1101.2523B"
    }
  }
}