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The generalized Hyers-Ulam stability of quadratic functional equations on restricted domains - MaRDI portal

The generalized Hyers-Ulam stability of quadratic functional equations on restricted domains (Q2794901)

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scientific article; zbMATH DE number 6554578
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The generalized Hyers-Ulam stability of quadratic functional equations on restricted domains
scientific article; zbMATH DE number 6554578

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    11 March 2016
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    Hyers-Ulam stability
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    fixed-point method
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    qudratic functional equation
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    restricted domains
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    Cauchy difference
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    The generalized Hyers-Ulam stability of quadratic functional equations on restricted domains (English)
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    The authors have prove the generalized Hyers-Ulam stability of a well-defined quadratic functional equation. The result is new and interesting. The following references provide a new direction for further study of the authors' results.NEWLINENEWLINE 1) \textit{S.-M. Jung} and \textit{M. Th. Rassias} [``A linear functional equation of third-order associated with the Fibonacci numbers'', Abstr. Appl. Anal. 2014, Article ID 137468 (2014)].NEWLINENEWLINE 2) \textit{Y. H. Lee}, \textit{S.-M. Jung} and \textit{M. Th. Rassias} [``On an \(n\)-dimensional mixed type additive and quadratic functional equation'', Appl. Math. Comput 228, 13--16 (2014)].
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