Some Gruss type inequalities for Frechet differentiable mappings
Functional Analysis
2019-08-16 v1
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.
Cite
@article{arxiv.1908.05326,
title = {Some Gruss type inequalities for Frechet differentiable mappings},
author = {Teimouri Azadbakht and Amir Ghasem Ghazanfari},
journal= {arXiv preprint arXiv:1908.05326},
year = {2019}
}