Abstract and Applied Analysis
Volume 2007 (2007), Article ID 35151, 15 pages
doi:10.1155/2007/35151
On the generalized Hyers-Ulam stability of a Cauchy-Jensen functional equation
Kil-Woung Jun1
, Yang-Hi Lee2
and Young-Sun Cho3
1National Institute for Mathematical Sciences, Daejeon 305-340, South Korea
2Department of Mathematics Education, Gongju National University of Education, Gongju 314-711, South Korea
3Department of Mathematics, Chungnam National University, Daejeon 305-764, South Korea
Abstract
In 2006, W. G. Park and J. H. Bae investigated the Hyers-Ulam stability of a Cauchy-Jensen functional equation. In this paper, we improve their results and obtain better results for a Cauchy-Jensen functional equation. Also, we establish new theorems for the generalized Hyers-Ulam stability of a Cauchy-Jensen functional equation.