{
  "id": "0812.5017",
  "version": "v1",
  "published": "2008-12-30T06:51:31.000Z",
  "updated": "2008-12-30T06:51:31.000Z",
  "title": "On the stability of generalized mixed type quadratic and quartic functional equation in quasi-Banach spaces",
  "authors": [
    "S. Abbaszadeh",
    "M. Eshaghi Gordji"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper, we establish the general solution of the functional equation $$f(nx+y)+f(nx-y)=n^2f(x+y)+n^2f(x-y)+2(f(nx)-n^2f(x))-2(n^2-1)f(y)\\eqno {0 cm}$$for fixed integers $n$ with $n\\neq0,\\pm1$ and investigate the generalized Hyers-Ulam-Rassias stability of this equation in quasi-Banach spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-12-30T06:51:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "39B82"
    ],
    "keywords": [
      "generalized mixed type quadratic",
      "quartic functional equation",
      "quasi-banach spaces",
      "generalized hyers-ulam-rassias stability",
      "general solution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0812.5017A"
    }
  }
}