On the Hyers-Ulam-Rassias stability of a generalized quadratic equation (Q2732150)

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scientific article; zbMATH DE number 1623265
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On the Hyers-Ulam-Rassias stability of a generalized quadratic equation
scientific article; zbMATH DE number 1623265

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    17 April 2002
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    Hyers-Ulam-Rassias stability
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    quadratic functional equation
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    On the Hyers-Ulam-Rassias stability of a generalized quadratic equation (English)
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    The authors examine the Hyers-Ulam-Rassias stability [see \textit{D. H. Hyers, G. Isac} and \textit{Th. M. Rassias}, Stability of functional equations in several variables, Birkhäuser, Boston (1998; Zbl 0907.39025) and \textit{Soon-Mo Jung}, Hyers-Ulam-Rassias stability of functional equations in mathematical analysis, Hadronic Press, Palm Harbor (2001; Zbl 0980.39024)] of a generalized quadratic functional equation \(f(x+y) + g(x-y) = 2 f(x) + 2 g(y)\) in the spirit of Hyers, Ulam, and Rassias.
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