{
  "id": "0911.2896",
  "version": "v1",
  "published": "2009-11-16T20:59:32.000Z",
  "updated": "2009-11-16T20:59:32.000Z",
  "title": "Optimal Quadrature Formulas with Positive Coefficients in $L_2^{(m)}(0,1)$ Space",
  "authors": [
    "Kh. M. Shadimetov",
    "A. R. Hayotov"
  ],
  "comment": "32 pages, submitted to the Journal of computational and applied mathematics",
  "categories": [
    "math.NA"
  ],
  "abstract": "In the Sobolev space $L_2^{(m)}(0,1)$ optimal quadrature formulas with the nodes (1.5) are investigated. For optimal coefficients explicit form are obtained and norm of the error functional is calculated. In particular, by choosing parameter $\\eta_0$ in (1.5) the optimal quadrature formulas with positive coefficients are obtained and compared with well known optimal formulas.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-11-16T20:59:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65D32",
      "65D30"
    ],
    "keywords": [
      "optimal quadrature formulas",
      "positive coefficients",
      "optimal coefficients explicit form",
      "optimal formulas",
      "sobolev space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0911.2896S"
    }
  }
}