A generalization of Drygas functional equation
We obtain the Solutions of the following Drygas functional equation ∑ λ ∈Φ f (x + λy + aλ ) = κf(x)+ ∑ λ ∈Φ f(λy), x, y ∈ S where S is an abelian semigroup, G is an abelian group...
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| Main Authors: | , , |
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| Language: | English |
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Universidad Católica del Norte, Departamento de Matemáticas
2016
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| Subjects: | |
| Online Access: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172016000200002 |
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| Summary: | We obtain the Solutions of the following Drygas functional equation ∑ λ ∈Φ f (x + λy + aλ ) = κf(x)+ ∑ λ ∈Φ f(λy), x, y ∈ S where S is an abelian semigroup, G is an abelian group, f ∈ G S, Φ is a finite automorphism group of S with order k, and aλ ∈ S, λ∈Φ. |
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