Fuzzy stability of quadratic functional equations in general cases (Q642831)
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scientific article; zbMATH DE number 5964486
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fuzzy stability of quadratic functional equations in general cases |
scientific article; zbMATH DE number 5964486 |
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Fuzzy stability of quadratic functional equations in general cases (English)
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27 October 2011
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Summary: The aim of this paper is to investigate fuzzy Hyers-Ulam-Rassias stability of the general case of quadratic functional equation \[ f(ax + by) + f(ax - by) = (a/2)f(x + y) + (a/2)f(x - y) + (2a^2 - a)f(x) + (2b^2 - a)f(y), \] where \(a, b \geq 1\) and fixed integers with \(a \neq 2b^2\). These functional equations are equivalent. This has been proven by \textit{S. M. Ulam} [Problems in modern mathematics. New York: Wiley (1964; Zbl 0137.24201)].
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