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arxiv: 0812.5020 · v1 · submitted 2008-12-30 · 🧮 math.FA

Stability of a functional equation deriving from cubic and quartic functions

classification 🧮 math.FA
keywords cubicequationfunctionalquarticstabilityderivingfunctionsgeneral
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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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