Journal of Inequalities and Applications 
Volume 2008 (2008), Article ID 278505, 9 pages
doi:10.1155/2008/278505
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

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Abstract

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.