Open Access

Stability of Cubic Functional Equation in the Spaces of Generalized Functions

Journal of Inequalities and Applications20072007:079893

https://doi.org/10.1155/2007/79893

Received: 24 April 2007

Accepted: 13 September 2007

Published: 4 November 2007

Abstract

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.

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Authors’ Affiliations

(1)
Department of Mathematics, Sogang University
(2)
Department of Mathematics and Program of Integrated Biotechnology, Sogang University

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Copyright

© Y.-S. Lee and S.-Y. Chung 2007

This article is published under license to BioMed Central Ltd. 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.