Hyers-Ulam stability of functional equations with a square-symmetric operation
نویسندگان
چکیده
منابع مشابه
Hyers-ulam stability of functional equations with a square-symmetric operation.
The stability of the functional equation f(x composite function y) = H(f(x), f(y)) (x, y in S) is investigated, where H is a homogeneous function and composite function 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.
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1998
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.95.22.12772