{
  "id": "1908.05326",
  "version": "v1",
  "published": "2019-08-14T19:47:51.000Z",
  "updated": "2019-08-14T19:47:51.000Z",
  "title": "Some Gruss type inequalities for Frechet differentiable mappings",
  "authors": [
    "Teimouri Azadbakht",
    "Amir Ghasem Ghazanfari"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "Let X be a Hilbert C^*-module on C^*-algebra A and p in A. We denote by Dp(A;X) the set of all continuous functions f on A, which are Frechet differentiable on a open neighborhood U of p. Then, we introduce some generalized semi-inner products on Dp(A;X), and using them some Gruss type inequalities in semi-inner product C^*-module Dp(A;X) and Dp(A;X^n) are established.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-14T19:47:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "gruss type inequalities",
      "frechet differentiable mappings",
      "gruss type inequalities",
      "generalized semi-inner products",
      "open neighborhood"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}