Stability of a mixed type quadratic, cubic and quartic functional equation

Mathematics – Functional Analysis

Scientific paper

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Scientific paper

In this paper, we obtain the general solution and the generalized Hyers-Ulam
Rassias stability of the functional equation
$$3(f(x+2y)+f(x-2y))=12(f(x+y)+f(x-y))+4f(3y)-18f(2y)+36f(y)-18f(x).$$

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