{
  "id": "1701.03971",
  "version": "v1",
  "published": "2017-01-14T22:52:02.000Z",
  "updated": "2017-01-14T22:52:02.000Z",
  "title": "Some new inequalities for Generalized Mathieu type series and Riemann zeta functions",
  "authors": [
    "Khaled Mehrez",
    "Živorad Tomovski"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "Our aim in this paper is to show some new inequalities for Mathieu's type series and Riemann zeta function. In particular, some Tur\\'an type inequalities, some monotonicity and log-convexity results for these special functions are given. New Laplace type integral representations for Mathie type series and Riemann zeta function are also presented.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-14T22:52:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33E20"
    ],
    "keywords": [
      "riemann zeta function",
      "generalized mathieu type series",
      "laplace type integral representations",
      "mathie type series",
      "turan type inequalities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}