Hyers-Ulam-Rassias stability of a Jensen type functional equation

DOI10.1006/jmaa.2000.6995zbMath0964.39027OpenAlexW2092043037MaRDI QIDQ1589714

Tiberiu Trif

Publication date: 11 July 2001

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

Full work available at URL: https://doi.org/10.1006/jmaa.2000.6995

zbMATH Keywords

Hyers-Ulam-Rassias stabilityJensen's functional equationnormed linear spaces

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 (18)

Addition theorems and representations of topological semigroups ⋮ On the stability of a quadratic Jensen type functional equation ⋮ Ulam's stability of a generalization of the Fréchet functional equation ⋮ Stability of a quadratic Jensen type functional equation in the spaces of generalized functions ⋮ Stability problem for Jensen-type functional equations of cubic mappings ⋮ Decomposable functions and representations of topological semigroups ⋮ Set-valued solutions of an equation of Jensen type ⋮ On Ulam stability of the inhomogeneous version of the general linear functional equation ⋮ Semi-Inner Products and Parapreseminorms on Groups and a Generalization of a Theorem of Maksa and Volkmann on Additive Functions ⋮ On extension of the solutions of the Popoviciu type equations on groups ⋮ Hyers-Ulam stability of a class second differential equation \(y(x)+p(x)y'(x)+q(x)y(x)=F(y(x))\) ⋮ Stability of Jensen equations in the space of generalized functions ⋮ On a Jensen Type Functional Equation ⋮ Stability of a Jensen type equation in the space of generalized functions ⋮ On the stability of a functional equation deriving from an inequality of Popoviciu for convex functions ⋮ FUNCTIONAL EQUATIONS IN BANACH MODULES AND APPROXIMATE ALGEBRA HOMOMORPHISMS IN BANACH ALGEBRAS ⋮ Popoviciu type equations on cylinders ⋮ A fixed point theorem and Ulam stability of a general linear functional equation in random normed spaces

Cites Work

• On the Hyers-Ulam stability of the functional equations that have the quadratic property
• On the Hyers-Ulam-Rassias stability of a quadratic functional equation
• 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
• Remarks on the stability of functional equations
• Approximate homomorphisms
• On the stability of the quadratic mapping in normed spaces
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