{
  "id": "2205.02804",
  "version": "v1",
  "published": "2022-05-05T17:31:38.000Z",
  "updated": "2022-05-05T17:31:38.000Z",
  "title": "Further stability results of the functional equation $f(2x+y)+f\\left(\\frac{x+y}{2}\\right) =\\frac{2f(x)f(y)}{f(x)+f(y)}+\\frac{2f(x+y)f(y-x)}{3f(y-x)-f(x+y)}$",
  "authors": [
    "Idir Sadani"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper, we investigate the generalized Hyers-Ulam stability of the following reciprocal functional equation \\begin{equation*}f(2x+y)+f\\left(\\frac{x+y}{2}\\right) =\\frac{2f(x)f(y)}{f(x)+f(y)}+\\frac{2f(x+y)f(y-x)}{3f(y-x)-f(x+y)}\\end{equation*} in non-Archimedean space using a direct method.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-05T17:31:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stability results",
      "reciprocal functional equation",
      "non-archimedean space",
      "generalized hyers-ulam stability"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}