On the stability of a quadratic Jensen type functional equation

DOI10.1016/S0022-247X(02)00093-8zbMath1007.39026OpenAlexW2087652676MaRDI QIDQ1614710

Young Whan Lee

Publication date: 8 September 2002

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

Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00093-8

zbMATH Keywords

functional equationHyers-Ulam-Rassias stabilitylinear spacesquadratic Jensen type 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)

Related Items (15)

Ulam's stability of a generalization of the Fréchet functional equation ⋮ On a direct method for proving the Hyers-Ulam stability of functional equations ⋮ Stability of a quadratic Jensen type functional equation in the spaces of generalized functions ⋮ Elementary remarks on Ulam-Hyers stability of linear functional equations ⋮ Stability problem for Jensen-type functional equations of cubic mappings ⋮ Approximate gamma-beta type functions ⋮ On Ulam stability of the inhomogeneous version of the general linear functional equation ⋮ A new approach to Hyers-Ulam stability of \(r\)-variable quadratic functional equations ⋮ On extension of the solutions of the Popoviciu type equations on groups ⋮ Superstability and stability of the pexiderized multiplicative functional equation ⋮ The stability of Cauchy's gamma-beta functional equation ⋮ On a Jensen Type Functional Equation ⋮ Stability of a Jensen type quadratic-additive functional equation under the approximately conditions ⋮ Popoviciu type equations on cylinders ⋮ A fixed point theorem and Ulam stability of a general linear functional equation in random normed spaces

Cites Work

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• A generalization of the Hyers-Ulam-Rassias stability of Jensen's equation
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• The problem of S. M. Ulam for approximately multiplicative mappings
• On the stability of functional equations and a problem of Ulam
• Stability of generalized gamma and beta functional equations
• Hyers-Ulam-Rassias stability of a Jensen type functional equation
• On the stability of functional equations in Banach spaces
• Hyers-Ulam stability of functional equations in several variables
• On the Behavior of Mappings which do not Satisfy Hyers-Ulam Stability
• On the Stability of the Linear Mapping in Banach Spaces
• Hyers-Ulam-Rassias stability of Jensen’s equation and its application
• On the asymptoticity aspect of Hyers-Ulam stability of mappings
• On the Stability of the Linear Functional Equation
• Approximate homomorphisms

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