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On the stability of a cubic functional equation
Authors:Abbas Najati  Choonkil Park
Institution:(1) Department of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil, Islamic Republic of Iran;(2) Department of Mathematics, Hanyang University, Seoul, 133-791, Republic of Korea
Abstract:In this paper, we will find out the general solution and investigate the generalized Hyers-Ulam-Rassias stability problem for the following cubic functional equation
$$
2f(x + 2y) + f(2x - y) = 5f(x + y) + 5f(x - y) + 15f(y)
$$
in the spirit of Hyers, Ulam, Rassias and Găvruta. The second author was supported by Korea Research Foundation Grant KRF-2007-313-C00033
Keywords:Hyers-Ulam-Rassias stability  cubic functional equation
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