Stability problem for Jensen-type functional equations of cubic mappings

DOI10.1007/S10114-005-0736-9zbMath1118.39013OpenAlexW2000601840MaRDI QIDQ882747

Kil-Woung Jun, Hark-Mahn Kim

Publication date: 24 May 2007

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0736-9

zbMATH Keywords

Hyers-Ulam-Rassias stabilitylinear spacescubic mappingJensen type 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 (16)

A generalized Hyers-Ulam stability of a pexiderized logarithmic functional equation in restricted domains ⋮ On the stability of trigonometric functional equations in distributions and hyperfunctions ⋮ Stability of functional equations on restricted domains in a group and their asymptotic behaviors ⋮ Stability of a Jensen type logarithmic functional equation on restricted domains and its asymptotic behaviors ⋮ Stability of Jensen-type functional equations on restricted domains in a group and their asymptotic behaviors ⋮ On a generalized Hyers-Ulam stability of trigonometric functional equations ⋮ Stability of functional equations in several variables ⋮ Approximately linear mappings in Banach modules over a \(C^*\)-algebra ⋮ Distributional methods for a class of functional equations and their stabilities ⋮ On the stability of a cubic functional equation ⋮ Stability of trigonometric functional equations in generalized functions ⋮ Fixed points and stability of a generalized quadratic functional equation ⋮ Stability of a generalized Euler-Lagrange type additive mapping and homomorphisms in \(C^{\ast}\)-algebras ⋮ Stability of a logarithmic functional equation in distributions on a restricted domain ⋮ Stability of additive mappings in non-archimedean fuzzy normed spaces ⋮ Stability of a generalized quadratic functional equation in Schwartz distributions

Cites Work

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• On the Hyers-Ulam-Rassias stability of a general cubic functional equation
• On the Stability of the Linear Functional Equation
• Approximate homomorphisms
• Stability of functional equations in several variables

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