{
  "id": "1712.03482",
  "version": "v1",
  "published": "2017-12-10T07:58:42.000Z",
  "updated": "2017-12-10T07:58:42.000Z",
  "title": "Asymptotics of Chebyshev Polynomials, III. Sets Saturating SzegŐ, Schiefermayr, and Totik--Widom Bounds",
  "authors": [
    "Jacob S. Christiansen",
    "Barry Simon",
    "Maxim Zinchenko"
  ],
  "comment": "Intended for the book \"Analysis as a Tool in Mathematical Physics: in Memory of Boris Pavlov\" to be published by Birkh\\\"auser in the series Operator Theory: Advances and Applications",
  "categories": [
    "math.CA"
  ],
  "abstract": "We determine which sets saturate the Szeg}o and Schiefermayr lower bounds on the norms of Chebyshev Polynomials. We also discuss sets that saturate the Totik--Widom upper bound.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-10T07:58:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "41A50",
      "30C80",
      "30C10"
    ],
    "keywords": [
      "chebyshev polynomials",
      "totik-widom bounds",
      "sets saturating",
      "asymptotics",
      "schiefermayr lower bounds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}