Abstract and Applied Analysis
Volume 2010 (2010), Article ID 754120, 7 pages
doi:10.1155/2010/754120
Research Article

Hyers-Ulam Stability of Polynomial Equations

M. Bidkham, H. A. Soleiman Mezerji, and M. Eshaghi Gordji

Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran

Received 27 April 2010; Revised 3 August 2010; Accepted 30 September 2010

Academic Editor: John M. Rassias

Copyright © 2010 M. Bidkham 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 prove the Hyers-Ulam stability of the polynomial equation anxn+an−1xn−1+⋯+a1x+a0=0. We give an affirmative answer to a problem posed by Li and Hua (2009).