Stability of an Additive-Cubic-Quartic Functional Equation

In this paper, we consider the additive-cubic-quartic functional equation 11[f(x + 2y) + f (x - 2y)] = 44[f(x + y) + f(x - y )} + 12f(3y) - 48f(2y) + 60f(y) - 66f(x) and prove the generalized Hyers-Ulam stability of the additive-cubic-quartic functional equation in Banach spaces. Copyright (C) 2009 M. Eshaghi-Gordji et al.The authors would like to thank the referees for a number of valuable suggestions regarding a previous version of this paper. The third and corresponding author was supported by Basic Science Research Program through the National Research Foundation of Korea funded by the Ministry of Education, Science and Technology (NRF-2009-0070788)