{
  "id": "2206.03561",
  "version": "v1",
  "published": "2022-05-05T17:26:22.000Z",
  "updated": "2022-05-05T17:26:22.000Z",
  "title": "Stability of a new generalized reciprocal type functional equation",
  "authors": [
    "Idir Sadani"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper, we investigate the generalized Hyers-Ulam stability of the following reciprocal type functional equation \\begin{equation*}f(2x+y)+f(2x-y)=\\frac{2f(x)f(y)\\displaystyle{\\sum_{\\substack{k=0\\\\ \\text{$k$ is even}}}^{ l}2^{l-k}\\binom{l}{k}f(x)^{\\frac{k}{l}}f(y)^{\\frac{l-k}{l}}}}{\\left(4f(y)^{\\frac{2}{l}}-f(x)^{\\frac{2}{l}}\\right)^l}\\end{equation*} in non-zero real and non-Archimedean spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-05T17:26:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "generalized reciprocal type functional equation",
      "generalized hyers-ulam stability",
      "non-zero real",
      "non-archimedean spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}