Stability of a functional equation deriving from cubic and quartic functions

Details Stability of a functional equation deriving from cubic and quartic functions Stability of a functional equation deriving from cubic and quartic functions

2008-12-30

arxiv.org/abs/0812.5020v1

Mathematics

Functional Analysis

Scientific paper

In this paper, we obtain the general solution and the generalized Ulam-Hyers
stability of the cubic and quartic functional equation
&4(f(3x+y)+f(3x-y))=-12(f(x+y)+f(x-y))
&+12(f(2x+y)+f(2x-y))-8f(y)-192f(x)+f(2y)+30f(2x).

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