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In this paper, we will nd out the general solution and in-vestigate the generalized HyersUlamRassias stability problem for thefollowing cubic functional equation3f(x + 3 y) + f(3x y) = 15 f(x + y) + 15 f(x y) + 80 f(y):The concept of Hyers-Ulam-Rassias stability originated from Th. M.Rassias’ stability theorem that appeared in his paper: On the stabilityof the linear mapping in Banach spaces, Proc. Amer. Math. Soc.72(1978), 297--300.
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