{
  "id": "math/0210342",
  "version": "v1",
  "published": "2002-10-22T10:58:48.000Z",
  "updated": "2002-10-22T10:58:48.000Z",
  "title": "Estimates for Norms of Random Polynomials",
  "authors": [
    "Pavel Grigoriev"
  ],
  "comment": "Almost the same text was published in East J. Approximation 2001 v. 7 no. 4 pp. 445--469",
  "journal": "East Journal of Approximation 2001 v. 7 no. 4 pp.445--469",
  "categories": [
    "math.PR",
    "math.CA"
  ],
  "abstract": "This paper contains some estimates for the {\\it integral-uniform} norm and the uniform norm of a wide class of random polynomials. The family of integral-uniform norms introduced by Kasin and Tzafriri is a natural generalization of the maximum norm taken over a net. We prove some properties of the integral-uniform norms. The given application of the established estimates demonstrates that the integral-uniform norms may be useful whenever one is interested in the properties of a function distribution. Key words: integral-uniform norm; random polynomials with respect to a general function system; trigonometric polynomials with random coefficients.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-10-22T10:58:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G99",
      "60G70",
      "26D15"
    ],
    "keywords": [
      "random polynomials",
      "integral-uniform norm",
      "maximum norm taken",
      "general function system",
      "natural generalization"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.....10342G"
    }
  }
}