{
  "id": "2412.14756",
  "version": "v1",
  "published": "2024-12-19T11:36:59.000Z",
  "updated": "2024-12-19T11:36:59.000Z",
  "title": "On a conjecture by Alzer and Matkowski",
  "authors": [
    "Włodzimierz Fechner",
    "Marta Pierzchałka",
    "Gabriela Smejda"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "We prove a conjecture posted recently by by Horst Alzer and Janusz Matkowski concerning a bilinearity property of the Cauchy exponential difference for real-to-real functions. Moreover, we provide a generalization of their result for mappings defined on a linear space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-12-19T11:36:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "39B22",
      "39B32"
    ],
    "keywords": [
      "conjecture",
      "cauchy exponential difference",
      "horst alzer",
      "linear space",
      "real-to-real functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}