Approximate generalized cubic \(\ast\)-derivations (Q2256682)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximate generalized cubic \(\ast\)-derivations |
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Approximate generalized cubic \(\ast\)-derivations (English)
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20 February 2015
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Summary: We show the general solution of the functional equation \(f(ax+by)+f(ax-by)=ab^2[f(x+y)+f(x-y)]+2a(a^2-b^2)f(x)\) and investigate the stability of cubic \(\ast\)-derivations associated with the given functional equation on Banach \(\ast\)-algebras.
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functional equation
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stability
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cubic \(\ast\)-derivation
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Banach \(\ast\)-algebra
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Hyers-Ulam-Rassias stability
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