http://hdl.handle.net/20.500.12128/9457
Title: | Some generalization of Cauchy's and the quadratic functional equations |
Authors: | Łukasik, Radosław |
Keywords: | Cauchy functional equation; quadratic functional equation |
Issue Date: | 2012 |
Citation: | Aequationes Mathematicae, Vol. 83 (2012), s. 75-86 |
Abstract: | We find the solutions f, g, h: S → H of each of the functional equations λ∈Λ f(x + λy) = |Λ|g(x) + h(y), x,y∈ S, where (S, +) is an abelian semigroup, Λ is a finite subgroup of the automorphism group of S, (H, +) is an abelian group. |
URI: | http://hdl.handle.net/20.500.12128/9457 |
DOI: | 10.1007/s00010-011-0106-x |
ISSN: | 0001-9054 1420-8903 |
Appears in Collections: | Artykuły (WNŚiT) |
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Lukasik_Some_generalization_of_Cauchys_and_the_quadratic.pdf | 310,49 kB | Adobe PDF | View/Open |
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