{
  "id": "0812.2931",
  "version": "v1",
  "published": "2008-12-15T22:26:48.000Z",
  "updated": "2008-12-15T22:26:48.000Z",
  "title": "Solution and stability of generalized mixed type cubic, quadratic and additive functional equation in quasi-Banach spaces",
  "authors": [
    "M. Eshaghi Gordji",
    "H. Khodaei"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper, we achieve the general solution and the generalized Hyers-Ulam-Rassias stability of the following functional equation $$f(x+ky)+f(x-ky)=k^2f(x+y)+k^2f(x-y)+2(1-k^2)f(x)\\eqno {2 cm}$$for fixed integers $k$ with $k\\neq0,\\pm1$ in the quasi-Banach spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-12-15T22:26:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "39B82",
      "39B52"
    ],
    "keywords": [
      "generalized mixed type cubic",
      "additive functional equation",
      "quasi-banach spaces",
      "general solution",
      "generalized hyers-ulam-rassias stability"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0812.2931E"
    }
  }
}