{
  "id": "1308.4364",
  "version": "v1",
  "published": "2013-08-20T17:57:39.000Z",
  "updated": "2013-08-20T17:57:39.000Z",
  "title": "A note on the Geronimus transformation and Sobolev orthogonal polynomials",
  "authors": [
    "Maxim Derevyagin",
    "Francisco Marcellán"
  ],
  "comment": "16 pages",
  "categories": [
    "math.CA",
    "math.NA"
  ],
  "abstract": "In this note we recast the Geronimus transformation in the framework of polynomials orthogonal with respect to symmetric bilinear forms. We also show that the double Geronimus transformations lead to non-diagonal Sobolev type inner products.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-08-20T17:57:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C05",
      "15A23"
    ],
    "keywords": [
      "sobolev orthogonal polynomials",
      "non-diagonal sobolev type inner products",
      "symmetric bilinear forms",
      "double geronimus transformations",
      "polynomials orthogonal"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1308.4364D"
    }
  }
}