{
  "id": "2004.06852",
  "version": "v1",
  "published": "2020-04-15T01:43:05.000Z",
  "updated": "2020-04-15T01:43:05.000Z",
  "title": "On a Generalization of Strongly $η$-Convex Functions via Fractal Sets",
  "authors": [
    "Zaroni Robles",
    "José Sanabria",
    "Rainier Sánchez"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "The purpose of this paper is to study a generalization of strongly $\\eta$-convex functions using the fractal calculus developed by Yang \\cite{Yang}, namely generalized strongly $\\eta$-convex function. Among other results, we obtain some Hermite-Hadamard and Fej\\'er type inequalities for this class of functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-15T01:43:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26D07",
      "26D15",
      "26A51",
      "39B62"
    ],
    "keywords": [
      "convex function",
      "fractal sets",
      "generalization",
      "fejer type inequalities",
      "fractal calculus"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}