Stability of a functional equation deriving from quartic and additive functions
classification
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keywords
equationfunctionalstabilityadditivederivingfunctionsgeneralgeneralized
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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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