Hyers–Ulam stability of functional equations with a square-symmetric operation
AUTOR(ES)
Páles, Zsolt
FONTE
The National Academy of Sciences
RESUMO
The stability of the functional equation f(x ○ y) = H(f(x), f(y)) (x, y ∈ S) is investigated, where H is a homogeneous function and ○ is a square-symmetric operation on the set S. The results presented include and generalize the classical theorem of Hyers obtained in 1941 on the stability of the Cauchy functional equation.
ACESSO AO ARTIGO
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