Solution and stability of a functional equation deriving from additive, quadratic and quartic in quasi-Banach spaces
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Abstract
In this paper, we investigate the general solution of the following functional equation
$$f(x+3y)+f(x-3y)=9(f(x+y)+f(x-y))+12f(y)-12f(2y)+4f(3y)-16f(x)$$
and discuss its Hyers-Ulam stability in quasi-Banach spaces.
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References
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