{
  "id": "2505.07822",
  "version": "v1",
  "published": "2025-04-13T00:25:40.000Z",
  "updated": "2025-04-13T00:25:40.000Z",
  "title": "Stability of quadratic functional equation in modular spaces",
  "authors": [
    "Abderrahman Baza",
    "Mohamed Rossafi",
    "Arul Joseph Gnanaprakasam"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper, we study the Hyers-Ulam stability of the following equation \\begin{multline*} \\phi(x+y-z)+\\phi(x+z-y)+\\phi(y+z-x)=\\phi (x-y)+\\phi(x-z)+\\phi(z-y) +\\phi(x)+\\phi(y) +\\phi(z) \\end{multline*} in modular space, with or without $\\Delta_2$-condition, and in $\\beta$-homogeneous Banach space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2025-04-13T00:25:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "39B82",
      "39B52"
    ],
    "keywords": [
      "quadratic functional equation",
      "modular space",
      "homogeneous banach space",
      "hyers-ulam stability"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}