On a functional inequality stemming from the Gr\"uss-type inequalities
classification
🧮 math.CA
keywords
functionalinequalitycomescomplex-valuedformgeneralizationsinequalitiesmotivation
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We study functional inequality of the form $$|T(f,h)-T(f,g)T(g,h)| \leq F(f,g)F(g,h) -F(f,h)$$ 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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