{
  "id": "1307.0213",
  "version": "v1",
  "published": "2013-06-30T15:33:42.000Z",
  "updated": "2013-06-30T15:33:42.000Z",
  "title": "On the convergence of type I Hermite-Padé approximants",
  "authors": [
    "G. López Lagomasino",
    "S. Medina Peralta"
  ],
  "comment": "20 pages",
  "categories": [
    "math.CV"
  ],
  "abstract": "Pad\\'e approximation has two natural extensions to vector rational approximation through the so called type I and type II Hermite-Pad\\'e approximants. The convergence properties of type II Hermite-Pad\\'e approximants have been studied. For such approximants Markov and Stieltjes type theorems are available. To the present, such results have not been obtained for type I approximants. In this paper, we provide Markov and Stieltjes type theorems on the convergence of type I Hermite-Pad\\'e approximants for Nikishin systems of functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-06-30T15:33:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30E10",
      "42C05",
      "41A20"
    ],
    "keywords": [
      "hermite-pade approximants",
      "stieltjes type theorems",
      "vector rational approximation",
      "approximants markov",
      "natural extensions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.0213L"
    }
  }
}