{
  "id": "2403.17557",
  "version": "v1",
  "published": "2024-03-26T10:04:58.000Z",
  "updated": "2024-03-26T10:04:58.000Z",
  "title": "Some Generalizations of Mercer inequality and its operator extensions",
  "authors": [
    "Mohsen Kian",
    "Zainab Peymani Mazraj"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We study the Mercer inequality and its operator extension for superquadratic functions. In particular, we give a more general form of the Mercer inequality by replacing some constants by positive operators. As some consequences, our results produce a Jensen operator inequality for superquadratic functions. Moreover, we present some Mercer inequalities of Hermite-Hadamard's type.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-03-26T10:04:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A63"
    ],
    "keywords": [
      "mercer inequality",
      "operator extension",
      "generalizations",
      "superquadratic functions",
      "jensen operator inequality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}