Some Grüss Type Inequalities for Fréchet Differentiable Mappings

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DOI: 10.46793/KgJMat2004.571T


Let X be a Hilbert C-module on C-algebra A and p A. We denote by Dp(A,X) the set of all continuous functions f : A X, which are Fréchet differentiable on a open neighborhood U of p. Then, we introduce some generalized semi-inner products on Dp(A,X), and using them some Grüss type inequalities in semi-inner product C-module Dp(A,X) and Dp(A,Xn) are established.


Fréchet differentiable mappings, C-modules, Grüss inequality.


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