{
  "id": "1912.13342",
  "version": "v1",
  "published": "2019-12-27T07:11:02.000Z",
  "updated": "2019-12-27T07:11:02.000Z",
  "title": "On the best approximation of constants by polynomials with integer coefficients",
  "authors": [
    "R. M. Trigub"
  ],
  "comment": "17 pages; the paper is in Russian, with the title and abstract in English",
  "categories": [
    "math.CA",
    "math.FA"
  ],
  "abstract": "In this paper, exact rate of decrease of best approximations of non-integer numbers by polynomials with integer coefficients of the growing exponentials is found on a disk in complex plane, on a cube in $\\mathbb{R}^d$, and on a ball in $\\mathbb{R}^d$. While in the first two cases the $\\sup$-norm is used, the third one is fulfilled in $L_p$, $1\\leq p<\\infty$. Comments are also given (two remarks in the end of the paper).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-12-27T07:11:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "41A10",
      "30E10",
      "41A17",
      "41A25"
    ],
    "keywords": [
      "best approximation",
      "integer coefficients",
      "polynomials",
      "exact rate",
      "non-integer numbers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "ru",
      "license": "arXiv",
      "status": "editable"
    }
  }
}