{
  "id": "1408.1497",
  "version": "v1",
  "published": "2014-08-07T06:54:01.000Z",
  "updated": "2014-08-07T06:54:01.000Z",
  "title": "New sharp inequalities of Ostrowski and generalized trapezoid type for the Riemann-Stieltjes integrals and applications",
  "authors": [
    "Mohammad W. Alomari"
  ],
  "comment": "22 pages",
  "journal": "Ukrainian Mathematical Journal, 65 (7) 2013, 895--916",
  "categories": [
    "math.CA"
  ],
  "abstract": "In this paper, new sharp weighted generalizations of Ostrowski and generalized trapezoid type inequalities for the Riemann--Stieltjes integrals are proved. Several related inequalities are deduced and investigated. New Simpson's type inequalities for $\\mathcal{RS}$--integral are pointed out. Finally, as application; an error estimation of a general quadrature rule for $\\mathcal{RS}$--integral via Ostrowski--generalized trapezoid quadrature formula is given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-08-07T06:54:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26D10",
      "26D15"
    ],
    "keywords": [
      "riemann-stieltjes integrals",
      "sharp inequalities",
      "application",
      "generalized trapezoid type inequalities",
      "simpsons type inequalities"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1408.1497A"
    }
  }
}