Multiadditive functions satisfying certain functional equations
As a generalization of a result proved independently by Kurepa and Jurkat on additive functions on R satisfying certain functional equations, we determine multiadditive functions on R n with a positive integer n greater than 1 satisfying certain functional equations similar to those considered in th...
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Veröffentlicht in: | Aequationes mathematicae 2019-04, Vol.93 (2), p.345-350 |
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Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | As a generalization of a result proved independently by Kurepa and Jurkat on additive functions on
R
satisfying certain functional equations, we determine multiadditive functions on
R
n
with a positive integer
n
greater than 1 satisfying certain functional equations similar to those considered in the one variable case. |
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ISSN: | 0001-9054 1420-8903 |
DOI: | 10.1007/s00010-018-0627-7 |