On the Generalized Hyers-Ulam Stability of a Cauchy-Jensen Functional EquationReport as inadecuate

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Abstract and Applied Analysis - Volume 2007 2007, Article ID 35151, 15 pages

Research Article

National Institute for Mathematical Sciences, Daejeon 305-340, South Korea

Department of Mathematics, Chungnam National University, Daejeon 305-764, South Korea

Department of Mathematics Education, Gongju National University of Education, Gongju 314-711, South Korea

Received 2 July 2007; Revised 27 August 2007; Accepted 22 October 2007

Academic Editor: John Michael Rassias

Copyright © 2007 Kil-Woung Jun 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.


In 2006, W. G. Park and J. H. Bae investigated the Hyers-Ulamstability of a Cauchy-Jensen functional equation. In this paper, weimprove their results and obtain better results for a Cauchy-Jensenfunctional equation. Also, we establish new theorems for thegeneralized Hyers-Ulam stability of a Cauchy-Jensen functionalequation.

Author: Kil-Woung Jun, Yang-Hi Lee, and Young-Sun Cho

Source: https://www.hindawi.com/


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