On Hyers-Ulam-Rassias stability of functional equations (Q943472)
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scientific article; zbMATH DE number 5323386
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Hyers-Ulam-Rassias stability of functional equations |
scientific article; zbMATH DE number 5323386 |
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On Hyers-Ulam-Rassias stability of functional equations (English)
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9 September 2008
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Let \(G_1\) and \(G_2\) be two groups. We say that \(f, g, h, p, q :G_1\to G_2\) are the pseudo-additive mappings of the mixed quadratic and Pexider type in \(G_1\) if \[ f(x+y+z)+g(x+y)-h(x)-p(y)-q(z)=0 \] for all \(x, y, z \in G_1.\) In this paper the author investigates the Hyers-Ulam-Rassias stability of the functional equation above.
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Hyers-Ulam-Rassias stability
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pseudo-additive mapping
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mixed quadratic mapping
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Pexider type mapping
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functional equation
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