{
  "id": "math/0005032",
  "version": "v1",
  "published": "2000-05-03T15:58:22.000Z",
  "updated": "2000-05-03T15:58:22.000Z",
  "title": "Simultaneous approximation and interpolation of functions on continua in the complex plane",
  "authors": [
    "V. V. Andrievskii",
    "I. E. Pritsker",
    "R. S. Varga"
  ],
  "comment": "21 page; submitted to J. Math. Pures Appl",
  "journal": "J. Math. Pures Appl. 80 (2001), 373-388",
  "categories": [
    "math.CV",
    "math.CA"
  ],
  "abstract": "We construct polynomial approximations of Dzjadyk type (in terms of the k-th modulus of continuity, $k \\ge 1$) for analytic functions defined on a continuum E in the complex plane, which simultaneously interpolate at given points of E. Furthermore, the error in this approximation is decaying as $e^{-cn^\\alpha}$ strictly inside E, where c and $\\alpha$ are positive constants independent of the degree n of the approximating polynomial.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-05-03T15:58:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30E10",
      "41A10"
    ],
    "keywords": [
      "complex plane",
      "simultaneous approximation",
      "interpolation",
      "construct polynomial approximations",
      "dzjadyk type"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......5032A"
    }
  }
}