Abstract

In this paper, the stability of the general cubic-quartic functional equation, f(x+ky)+f(x−ky)=k2(f(x+y)+f(x−y))+2(1−k2)f(x)+[(k4−k2)/4](f(2y)−8f(y))+f̃(2x)−16f̃(x), where f̃(x)≔f(x)+f(−x) in the setting of Menger probabilistic normed spaces, is proved.

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