On a functional inequality stemming from the Grüss-type inequalities

2019/06/05 by Włodzimierz Fechner, Fechner, Włodzimierz
Mathematics · #26D15 #39B62 #39B82 #46C05 #Analytic and geometric function theory #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Equations Stability Results #Mathematical Inequalities and Applications

paper · pdf · doi:10.48550/arxiv.1906.01928

openalex publication_date 2019/06/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 Grüss inequality.

Citations

• Advances in Inequalities of the Schwarz, Gruss and Bessel Type in Inner Product Spaces

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