{
  "id": "1909.04552",
  "version": "v1",
  "published": "2019-09-10T15:04:25.000Z",
  "updated": "2019-09-10T15:04:25.000Z",
  "title": "Strong converse inequalities for the weighted multivariate Bernstein-Durrmeyer operator on the simplex via multipliers",
  "authors": [
    "Borislav R. Draganov"
  ],
  "journal": "Ann. Sofia Univ., Fac. Math. and Inf., 105 (2018) 55-73",
  "categories": [
    "math.CA"
  ],
  "abstract": "It is demonstrated that multiplier methods naturally yield better constants in strong converse inequalities for the Bernstein-Durrmeyer operator. The absolute constants obtained in some of the inequalities are independent of the weight and the dimension. The estimates are stated in terms of the $K$-functional that is naturally associated to the operator.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-10T15:04:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "41A10",
      "41A25",
      "41A27",
      "41A35",
      "41A36",
      "41A63",
      "42B15"
    ],
    "keywords": [
      "weighted multivariate bernstein-durrmeyer operator",
      "strong converse inequalities",
      "yield better constants",
      "absolute constants",
      "multiplier methods"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}