{
  "id": "1709.02710",
  "version": "v1",
  "published": "2017-09-08T14:08:18.000Z",
  "updated": "2017-09-08T14:08:18.000Z",
  "title": "Optimal spline spaces for $L^2$ $n$-width problems with boundary conditions",
  "authors": [
    "Michael S. Floater",
    "Espen Sande"
  ],
  "comment": "17 pages, 4 figures, 1 table",
  "categories": [
    "math.NA"
  ],
  "abstract": "In this paper we show that, with respect to the $L^2$ norm, three classes of functions in $H^r(0,1)$, defined by certain boundary conditions, admit optimal spline spaces of all degrees $\\geq r-1$, and all these spline spaces have uniform knots.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-09-08T14:08:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "boundary conditions",
      "width problems",
      "admit optimal spline spaces",
      "uniform knots"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}