Open Access Research Article

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

A Rahimi1, A Najati2 and J-H Bae3*

Author Affiliations

1 Department of Mathematics, Faculty of Basic Sciences, University of Maragheh, P.O. Box 55181-83111, Maragheh, Iran

2 Department of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil 56199-11367, Iran

3 College of Liberal Arts, Kyung Hee University, Yongin 446-701, Republic of Korea

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Journal of Inequalities and Applications 2010, 2010:454875 doi:10.1155/2010/454875

Published: 5 January 2011

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.