{
  "id": "1010.3354",
  "version": "v4",
  "published": "2010-10-16T14:13:06.000Z",
  "updated": "2011-01-20T03:12:52.000Z",
  "title": "Construction of Continuous, Integrable Functions with Extreme Behavior at Infinity",
  "authors": [
    "George W. Batten Jr"
  ],
  "comment": "8 pages, LaTeX. Corrected 2010Dec15. Minor corrections made 2011Jan18, especially E contains instead of E equals in the 6th line above section 2; some comments added",
  "categories": [
    "math.CA"
  ],
  "abstract": "For any real sequence {c(n)} tending to infinity as n tends to infinity, this constructs a function f which is continuous and integrable, and such that for every nonzero x, limsup c(n) f(n x) is infinite.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2011-01-20T03:12:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26A12",
      "26A06"
    ],
    "keywords": [
      "extreme behavior",
      "integrable functions",
      "construction",
      "continuous"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1010.3354B"
    }
  }
}