Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 454875, 14 pages
doi:10.1155/2010/454875
Research Article

On the Asymptoticity Aspect of Hyers-Ulam Stability of Quadratic Mappings

A. Rahimi,1 A. Najati,2 and J.-H. Bae3

1Department of Mathematics, Faculty of Basic Sciences, University of Maragheh, P.O. Box 55181-83111, Maragheh, Iran
2Department of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil 56199-11367, Iran
3College of Liberal Arts, Kyung Hee University, Yongin 446-701, Republic of Korea

Received 30 September 2010; Accepted 27 December 2010

Academic Editor: Shusen Ding

Copyright © 2010 A. Rahimi et al. 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 investigate the Hyers-Ulam stability of the quadratic functional equation on restricted domains. Applying these results, we study of an asymptotic behavior of these quadratic mappings.