Hyers-Ulam-Rassias stability of a cubic functional equation
Bull. Korean Math. Soc. 2007 Vol. 44, No. 4, 825-840
Published online December 1, 2007
Abbas Najati
University of Mohaghegh Ardabili
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 \begin{equation*} 3f(x+3y)+f(3x-y)=15f(x+y)+15f(x-y)+80f(y). \end{equation*} The concept of Hyers-Ulam-Rassias stability originated from Th. M. Rassias' stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. {\bf 72} (1978), 297--300.
Keywords : Hyers--Ulam--Rassias stability, cubic functional equation
MSC numbers : Primary 39B52, 46L05, 47B48
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