On a functional inequality stemming from the Gr\"uss-type inequalities

Abstract

We study functional inequality of the form |T(f,h)-T(f,g)T(g,h)| ≤ F(f,g)F(g,h) -F(f,h) where T is a complex-valued functional and F is a real-valued map. Motivation for our studies comes from some generalizations of Gr\"uss inequality.

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