Hyers–Ulam stability of monomial functional equations on a general domain

DOI10.1073/pnas.96.19.10588zbMath0963.39030OpenAlexW2033280228WikidataQ35625701 ScholiaQ35625701MaRDI QIDQ4488617

Attila Gilányi

Publication date: 9 July 2000

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.96.19.10588

zbMATH Keywords

Hyers-Ulam stabilitygroupoidmonomial functional equations

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (9)

Remarks on Stability of the Linear Functional Equation in Single Variable ⋮ Generalized stability of classical polynomial functional equation of order \(n\) ⋮ Stability of a monomial functional equation on a restricted domain ⋮ The monomial functional equation for connected Lie groups ⋮ General cubic-quartic functional equation ⋮ Recursive procedure in the stability of Fréchet polynomials ⋮ Stability of mixed additive-quadratic and additive-Drygas functional equations ⋮ Solution and stability of a mixed type cubic and quartic functional equation in quasi-Banach spaces ⋮ A fixed point theorem and Ulam stability of a general linear functional equation in random normed spaces

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