On a Cauchy-Jensen functional equation and its stability
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Publication:852778
DOI10.1016/J.JMAA.2005.09.028zbMath1104.39027OpenAlexW1973293998MaRDI QIDQ852778
Publication date: 15 November 2006
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.2005.09.028
Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52) Systems of functional equations and inequalities (39B72)
Related Items (17)
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Cites Work
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- On the Hyers-Ulam stability of the functional equations that have the quadratic property
- A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
- Quadratic functional equation and inner product spaces
- On the Stability of the Linear Mapping in Banach Spaces
- On the Stability of the Linear Functional Equation
- On the stability of the quadratic mapping in normed spaces
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