On Hyers-Ulam stability of monomial functional equations

DOI10.1007/BF02942569zbMath0954.39020OpenAlexW1970181876MaRDI QIDQ1969631

Attila Gilányi

Publication date: 19 March 2000

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02942569

zbMATH Keywords

Hyers-Ulam stabilityBanach spacemonomial functional equation

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) Functional inequalities, including subadditivity, convexity, etc. (39B62)

Related Items (3)

Stability of a monomial functional equation on a restricted domain ⋮ General cubic-quartic functional equation ⋮ Solution and stability of a mixed type cubic and quartic functional equation in quasi-Banach spaces

Cites Work

• A characterization of monomial functions
• A characterization of polynomial functions by means of Dinghas interval derivatives
• Hyers-Ulam stability of functional equations in several variables
• Proprieta’ locali e approssimazione di operatori
• On the Stability of the Linear Functional Equation
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