Stability of a functional equation deriving from quartic and additive functions

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

2008-12-30

arxiv.org/abs/0812.5025v1

Mathematics

Functional Analysis

Scientific paper

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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