{
  "id": "1005.0163",
  "version": "v1",
  "published": "2010-05-02T20:16:01.000Z",
  "updated": "2010-05-02T20:16:01.000Z",
  "title": "Optimal quadrature formulas of closed type in the space $L_2^{(m)}(0,1)$",
  "authors": [
    "Kh. M. Shadimetov"
  ],
  "comment": "This article is the fifth section of the author's Candidate dissertation entitled \"Optimal formulas of approximate integration for differentiable functions\"\\ - Novosibirsk, 1983. 140 p.",
  "categories": [
    "math.NA"
  ],
  "abstract": "It is discussed the problem on construction of optimal quadrature formulas in the sense of Sard in the space $L_2^{(m)}(0,1)$, when the nodes of quadrature formulas are equally spaced. Here the representations of optimal coefficients for any natural numbers $m$ and $N$ are found.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-05-02T20:16:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65D32"
    ],
    "keywords": [
      "optimal quadrature formulas",
      "closed type",
      "optimal coefficients",
      "natural numbers",
      "representations"
    ],
    "tags": [
      "dissertation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1005.0163S"
    }
  }
}