On the Hyers-Ulam-Rassias stability of functional equations in \(n\)-variables (Q703877)
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scientific article; zbMATH DE number 2126896
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Hyers-Ulam-Rassias stability of functional equations in \(n\)-variables |
scientific article; zbMATH DE number 2126896 |
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On the Hyers-Ulam-Rassias stability of functional equations in \(n\)-variables (English)
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12 January 2005
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In this interesting paper the author proves the stability in the sense of Hyers-Ulam-Rassias and Găvruţa for the functional equation \[ f(\varphi(X))=\phi(X)f(X)+\psi(X) \] and the stability in the sense of R. Ger for the functional equation \[ f(\varphi(X))=\phi(X)f(X), \] where \(X\) lies in \(n\)-variables. Some applications are given.
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functional equation
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Hyers-Ulam-Rassias stability
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gamma function
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beta function
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system
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Găvruţa stability
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Ger stability
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G-function
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Hyers-Ulam stability
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