On the Stability of a Cubic Functional Equation

A. Wiwatwanich, P. Nakmahachalasint

Abstract


In this paper, we establish the general solution of the following cubic functional equation

$f(x+3y)-3f(x+y)+3f(x-y)-f(x-3y)=48f(y)$

and examine its generalized Hyers-Ulam-Rassias stability problem on Banach spaces.


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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|