| Tartalom: |
http://real.mtak.hu/29492/ |
| Archívum: |
REAL |
| Gyűjtemény: |
Status = Published
Subject = Q Science / természettudomány: QA Mathematics / matematika: QA72 Algebra / algebra
Subject = Q Science / természettudomány: QA Mathematics / matematika: QA74 Analysis / analízis
Type = Article
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| Cím: |
A composite functional equation from algebraic aspect
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| Létrehozó: |
Burai, Pál
Házy, Attila
Juhász, Tibor
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| Kiadó: |
Birkhäuser Basel
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| Dátum: |
2013
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| Téma: |
QA72 Algebra / algebra
QA74 Analysis / analízis
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| Tartalmi leírás: |
In this paper we discuss the composite functional equation
f(x+2f(y))=f(x)+y+f(y)
on an Abelian group. This equation originates from Problem 10854 of the American Mathematical Monthly. We give an algebraic description of the solutions on uniquely 3-divisible Abelian groups, and then we construct all solutions f of this equation on finite Abelian groups without elements of order 3 and on divisible Abelian groups without elements of order 3 including the additive group of real numbers.
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| Nyelv: |
angol
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| Típus: |
Article
PeerReviewed
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| Formátum: |
text
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| Azonosító: |
Burai, Pál and Házy, Attila and Juhász, Tibor (2013) A composite functional equation from algebraic aspect. Aequationes Mathematicae, 86 (1-2). pp. 57-64. ISSN 0001-9054 (print version), 1420-8903 (electronic version)
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| Kapcsolat: |
DOI 10.1007/s00010-013-0211-0
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