{
  "id": "2103.09368",
  "version": "v1",
  "published": "2021-03-16T23:58:55.000Z",
  "updated": "2021-03-16T23:58:55.000Z",
  "title": "Sharp Constants of Approximation Theory. VI. Multivariate Inequalities of Different Metrics for Polynomials and Entire Functions",
  "authors": [
    "Michael Ganzburg"
  ],
  "comment": "36 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "We prove limit equalities between the sharp constants in weighted Nikolskii-type inequalities for multivariate polynomials on an $m$-dimensional cube and ball and the corresponding constants for entire functions of exponential type.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-16T23:58:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "41A17",
      "A63",
      "26D10"
    ],
    "keywords": [
      "sharp constants",
      "entire functions",
      "approximation theory",
      "multivariate inequalities",
      "limit equalities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}