On Stability of a Functional Equation Connected with the Reynolds Operator
Let (X,∘) be an Abelain semigroup, g:X→X, and let K be either ℠or ℂ. We prove superstability of the functional equation f(x∘g(y))=f(x)f(y) in the class of functions f:X→K. We also show some stability results of the equation in the class of functions f:X→Kn....
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| Format: | Article |
| Language: | English |
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SpringerOpen
2007-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://dx.doi.org/10.1155/2007/79816 |
| Summary: | Let (X,∘) be an Abelain semigroup, g:X→X, and let K be either ℠or ℂ. We prove superstability of the functional equation f(x∘g(y))=f(x)f(y) in the class of functions f:X→K. We also show some stability results of the equation in the class of functions f:X→Kn. |
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| ISSN: | 1025-5834 1029-242X |