%0 Journal Article
%T On Stability of a Functional Equation Connected with the Reynolds Operator
%A Adam Najdecki
%J Journal of Inequalities and Applications
%D 2007
%I Springer
%R 10.1155/2007/79816
%X Let (X, ¡é    ) be an Abelain semigroup, g:X ¡é   ¡¯X, and let K be either  ¡é     or  ¡é    . We prove superstability of the functional equation f(x ¡é    g(y))=f(x)f(y) in the class of functions f:X ¡é   ¡¯K. We also show some stability results of the equation in the class of functions f:X ¡é   ¡¯Kn.
%U http://dx.doi.org/10.1155/2007/79816