Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 278505, 9 pages
Research Article

On Functional Inequalities Originating from Module Jordan Left Derivations

Hark-Mahn Kim,1 Sheon-Young Kang,2 and Ick-Soon Chang3

1Department of Mathematics, Chungnam National University, Daejeon 305-764, South Korea
2Department of Industrial Mathematics, National Institute for Mathematical Sciences, Daejeon 305-340, South Korea
3Department of Mathematics, Mokwon University, Daejeon 302-729, South Korea

Received 18 February 2008; Revised 1 May 2008; Accepted 19 May 2008

Academic Editor: András Rontó

Copyright © 2008 Hark-Mahn Kim 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.


We first examine the generalized Hyers-Ulam stability of functional inequality associated with module Jordan left derivation (resp., module Jordan derivation). Secondly, we study the functional inequality with linear Jordan left derivation (resp., linear Jordan derivation) mapping into the Jacobson radical.