{
  "id": "2309.11967",
  "version": "v1",
  "published": "2023-09-21T10:49:47.000Z",
  "updated": "2023-09-21T10:49:47.000Z",
  "title": "Strong Converse Inequalities for Bernstein Operators via Krawtchouk Polynomials",
  "authors": [
    "José A. Adell",
    "Daniel Cárdenas-Morales"
  ],
  "comment": "12 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "We obtain strong converse inequalities for the Bernstein operators with explicit constants. One of the main ingredients in our approach is the representation of the derivatives of the Bernstein operators in terms of the orthogonal polynomials with respect to the binomial distribution, namely, the Krawtchouk polynomials",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-09-21T10:49:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "41A10",
      "41A25",
      "41A27",
      "41A36",
      "60E05"
    ],
    "keywords": [
      "strong converse inequalities",
      "bernstein operators",
      "krawtchouk polynomials",
      "explicit constants",
      "main ingredients"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}