{
  "id": "2301.11638",
  "version": "v1",
  "published": "2023-01-27T10:39:09.000Z",
  "updated": "2023-01-27T10:39:09.000Z",
  "title": "One-dimensional integral Rellich type inequalities",
  "authors": [
    "Tohru Ozawa",
    "Prasun Roychowdhury",
    "Durvudkhan Suragan"
  ],
  "categories": [
    "math.FA",
    "math.CA"
  ],
  "abstract": "The motive of this note is twofold. Inspired by the recent development of a new kind of Hardy inequality, here we discuss the corresponding Hardy-Rellich and Rellich inequality versions in the integral form. The obtained sharp Hardy-Rellich type inequality improves the previously known result. Meanwhile, the established sharp Rellich type integral inequality seems new.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-01-27T10:39:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26D10",
      "35A23"
    ],
    "keywords": [
      "type inequality",
      "one-dimensional integral rellich type inequalities",
      "sharp rellich type integral inequality",
      "established sharp rellich type integral"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}