On solutions of the Fréchet functional equation

DOI10.1016/j.jmaa.2006.11.002zbMath1118.39008OpenAlexW2004207633MaRDI QIDQ884359

Antonio-Jesús López-Moreno, J. M. Almira Picazo

Publication date: 6 June 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.11.002

zbMATH Keywords

difference operatorsDarboux theoremCauchy functional equationFréchet functional equationJensen functional equation

Mathematics Subject Classification ID

Functional equations for real functions (39B22)

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Hyperstability of the generalized polynomial functional equation of degree 5 ⋮ Hyperstability of some functional equations on restricted domain ⋮ \(C_{0}\)-semigroups of \(m\)-isometries on Hilbert spaces ⋮ A functional definition of polynomial for connected Lie groups ⋮ A note on classical and \(p\)-adic Fréchet functional equations with restrictions ⋮ A note on monomials ⋮ Chevalley-Warning type results on abelian groups ⋮ On Montel and Montel-Popoviciu theorems in several variables ⋮ The Fréchet functional equation for Lie groups ⋮ On some generalizations of the Fréchet functional equations ⋮ On periodic decomposition of entire functions of several variables ⋮ A generalized mixed type of quartic-cubic-quadratic-additive functional equations

Cites Work

• On extension of polynomial functions
• Fréchet's equation and Hyers theorem on noncommutative semigroups
• Some properties of convex functions of higher orders
• On vanishing n-th ordered differences and Hamel bases
• On some properties of polynomial functions
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