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math.FA2009
Quadratic--quartic functional equations in RN--spaces
M. Eshaghi Gordji, M. Bavand Savadkouhi, C. Park
In this paper, we obtain the general solution and the stability result for the following functional equation in random normed spaces (in the sense of Sherstnev) under arbitrary …
math.FA2008★ 5 cited
Stability of a mixed type quadratic, cubic and quartic functional equation
M. Eshaghi Gordji, S. Kaboli, S. Zolfaghari
In this paper, we obtain the general solution and the generalized Hyers-Ulam Rassias stability of the functional equation $$3(f(x+2y)+f(x-2y))=12(f(x+y)+f(x-y))+4f(3y)-18f(2y)+36f(…