{
  "id": "1609.06232",
  "version": "v1",
  "published": "2016-09-20T15:56:22.000Z",
  "updated": "2016-09-20T15:56:22.000Z",
  "title": "On two inequalities of Čebyšev",
  "authors": [
    "Mohammad W. Alomari"
  ],
  "comment": "12 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "In this work, several sharp bounds for the \\v{C}eby\\v{s}ev functional involving various type of functions are proved. In particular, for the \\v{C}eby\\v{s}ev functional of two absolutely continuous functions whose first derivatives are both convex, convex and belong to $L_p$-spaces, convex and bounded variation, convex and Lipschitz mappings new sharp bounds are presented. Other related results regarding two convex and concave functions are given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-20T15:56:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26A15",
      "26A51",
      "26D10"
    ],
    "keywords": [
      "inequalities",
      "sharp bounds",
      "functional",
      "lipschitz mappings",
      "concave functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}