{
  "id": "2406.10021",
  "version": "v1",
  "published": "2024-06-14T13:31:27.000Z",
  "updated": "2024-06-14T13:31:27.000Z",
  "title": "On the uniqueness of best approximation in Orlicz spaces",
  "authors": [
    "Ana Benavente",
    "Juan Costa Ponce",
    "Sergio Favier"
  ],
  "comment": "15 pages",
  "categories": [
    "math.FA",
    "math.CA"
  ],
  "abstract": "We study uniqueness of best approximation in Orlicz spaces L$\\Phi$, for different types of convex functions $\\Phi$ and for some finite dimensional approximation classes of functions, where Tchebycheff spaces, and more general approximation ones, are involved",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-06-14T13:31:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E30",
      "41A10",
      "41A50"
    ],
    "keywords": [
      "best approximation",
      "orlicz spaces",
      "finite dimensional approximation classes",
      "general approximation",
      "convex functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}