The generalized Hyers-Ulam - Rassias stability of a cubic functional equation

Abstract

In this paper, we obtain the general solution and the generalized Hyers–Ulam– Rassias stability for a cubic functional equation f(mx + y) + f(mx − y) = mf(x+ y) + mf(x − y) + 2($m^3$ −m)f(x) for a positive integer m $geq$ 1.