The Ulam type stability of a generalized additive mapping and concrete examples (Q1950003)
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scientific article; zbMATH DE number 6165357
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Ulam type stability of a generalized additive mapping and concrete examples |
scientific article; zbMATH DE number 6165357 |
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The Ulam type stability of a generalized additive mapping and concrete examples (English)
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23 May 2013
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Summary: We give an Ulam type stability result for the following functional equation: \(f(\alpha x - \alpha x' + x_0) = \beta f(x) - \beta f(x') + y_0\) (for all \(x, x' \in X\)) under a suitable condition. We also give a concrete stability result for the case taking up \(\delta ||x||^px'||^q\) as a control function.
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stability result
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Ulam type stability
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functional equation
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control function
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