The stability of the functional equation f(x o y) = H(f(x), f(y)) (x, y ε S) is investigated, where H is a homogeneous function and o 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.
|Number of pages||4|
|Journal||Proceedings of the National Academy of Sciences of the United States of America|
|Publication status||Published - Oct 27 1998|
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