Journal of Inequalities and Applications
Volume 2007 (2007), Article ID 79893, 13 pages
Stability of Cubic Functional Equation in the Spaces of Generalized Functions
1Department of Mathematics, Sogang University, Seoul 121-741, South Korea
2Department of Mathematics and Program of Integrated Biotechnology, Sogang University, Seoul 121-741, South Korea
Received 24 April 2007; Accepted 13 September 2007
Academic Editor: H. Bevan Thompson
Copyright © 2007 Young-Su Lee and Soon-Yeong Chung. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
In this paper, we reformulate and prove the Hyers-Ulam-Rassias stability theorem of the cubic functional equation
for fixed integer with in the spaces of Schwartz tempered distributions
and Fourier hyperfunctions.