{
  "id": "2204.01502",
  "version": "v1",
  "published": "2022-04-04T14:03:31.000Z",
  "updated": "2022-04-04T14:03:31.000Z",
  "title": "Estimates for the Kolmogorov widths of weighted Sobolev classes with conditions on the $0$th and the greatest derivatives",
  "authors": [
    "A. A. Vasil'eva"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In this article, we obtain the order estimates for the Kolmogorov widths of sets with conditions on the norm in the weighted Sobolev space $W^r_{p_1}$ and in the weighted space $L_{p_0}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-04-04T14:03:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "weighted sobolev classes",
      "kolmogorov widths",
      "greatest derivatives",
      "conditions",
      "order estimates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}