On the generalized Hyers-Ulam stability of a quadratic mapping (Q2747339)
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scientific article; zbMATH DE number 1657571
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the generalized Hyers-Ulam stability of a quadratic mapping |
scientific article; zbMATH DE number 1657571 |
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21 October 2002
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functional equations
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Hyers-Ulam stability
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quadratic functional equation
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0.9813874
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0.96249807
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0.96018535
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0.9580317
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0.95242536
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On the generalized Hyers-Ulam stability of a quadratic mapping (English)
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The Hyers-Ulam stability of some functional equation is investigated. But, in fact, the equation considered by the authors is equivalent to the following quadratic functional equation NEWLINE\[NEWLINEf(x+y)+f(x-y)=2f(x)+ 2f(y).NEWLINE\]NEWLINE Therefore, all the results contained in the paper as well as the basic ideas can be derived from the work of \textit{S. Czerwik} [The stability of the quadratic functional equation, in: Stability of mappings of Hyers-Ulam type, (ed. Th. M. Rassias and J. Tabor), Hadronic Press, Palm Harbor, Florida, 81-91 (1994; Zbl 0844.39008)].NEWLINENEWLINENEWLINESome estimations presented in the paper may be interesting for the reader.
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