Local stability of the additive functional equation and its applications (Q1864255)
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scientific article; zbMATH DE number 1883655
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Local stability of the additive functional equation and its applications |
scientific article; zbMATH DE number 1883655 |
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Local stability of the additive functional equation and its applications (English)
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17 March 2003
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The Hyers-Ulam stability of the additive functional equation for a large class of unbounded domains in Banach space is proved. Loosely speaking, it is proved that if a mapping \(f\) satisfies the additivity property approximately then there exists unique approximating additive mapping for \(f\). The result is applied to investigation of the stability of Jensen's functional equation.
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local stability
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additive functional equation
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Hyers-Ulam stability
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Banach space
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additive mapping
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Jensen's functional equation
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0.9904159
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0.93085665
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0.9278801
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0.9256002
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0.9245745
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0.9142071
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0.91418076
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