Stability of a functional equation deriving from quartic and additive functions

Abstract

In this paper, we obtain the general solution and the generalized Hyers-Ulam Rassias stability of the functional equation f(2x+y)+f(2x-y)=4(f(x+y)+f(x-y))-3/7(f(2y)-2f(y))+2f(2x)-8f(x).

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