Stability of Jensen equations in the space of generalized functions

DOI10.1016/j.jmaa.2004.05.036zbMath1064.39030OpenAlexW2000987235MaRDI QIDQ703891

Dohan Kim, Jae-Young Chung, Lin-Song Li

Publication date: 12 January 2005

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.05.036

zbMATH Keywords

distributionsHyers-Ulam stabilityJensen equationFourier hyperfunctionsJensen-Pexider equation

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Stability, separation, extension, and related topics for functional equations (39B82)

Related Items (7)

Stability of a quadratic Jensen type functional equation in the spaces of generalized functions ⋮ Stabilities of cubic mappings in various normed spaces: direct and fixed point methods ⋮ Stability of mixed additive-quadratic Jensen type functional equation in various spaces ⋮ STABILITY OF THE JENSEN'S FUNCTIONAL EQUATION IN MULTI-FUZZY NORMED SPACES ⋮ A distributional version of functional equations and their stabilities ⋮ Stability of functional equations of drygas in the space of Schwartz distributions ⋮ Stability of a Jensen type equation in the space of generalized functions

Cites Work

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• A calculus approach to hyperfunctions III
• On a Local Stability of the Jensen Functional Equation
• Functional Equations, Tempered Distributions and Fourier Transforms
• 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
• Distributional methods for functional equations

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