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Zbl 1229.39031
Eshaghi Gordji, M.; Ramezani, M.
(English)
[J] Ann. Funct. Anal. AFA 1, No. 2, 64-67, electronic only (2010). ISSN 2008-8752/e

The authors investigate an Erdös problem on almost quadratic functions on $\Bbb R$. Erdös problem. Let $f :\Bbb R \to\Bbb R$ be a function such that $f(x+y) = f(x) + f(y)$ for almost all $(x,y)\in\Bbb R \times\Bbb R$. Does there exist an additive function $F :\Bbb R \to\Bbb R$ such that $f(x) = F(x)$ for almost all $x \in\Bbb R$?
[Borislav Crstici (Timişoara)]
MSC 2000:
*39B22 Functional equations for real functions
39B72 Functional inequalities involving unknown functions

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