Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 801502, 12 pages
doi:10.1155/2010/801502
Research Article

Stability of Trigonometric Functional Equations in Generalized Functions

Jeongwook Chang1 and Jaeyoung Chung2

1Department of Mathematics Education, Dankook University, Yongin 448-701, South Korea
2Department of Mathematics, Kunsan National University, Kunsan 573-701, South Korea

Received 30 June 2009; Revised 26 December 2009; Accepted 10 January 2010

Academic Editor: Alberto Cabada

Copyright © 2010 Jeongwook Chang and Jaeyoung 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.

Abstract

We consider the Hyers-Ulam stability of a class of trigonometric functional equations in the spaces of generalized functions such as Schwartz distributions, Fourier hyperfunctions, and Gelfand generalized functions.