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  • Research Article
  • Open Access

On Functional Inequalities Originating from Module Jordan Left Derivations

Journal of Inequalities and Applications20082008:278505

  • Received: 18 February 2008
  • Accepted: 19 May 2008
  • Published:


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.


  • Full Article
  • Publisher Note
  • Jacobson Radical
  • Functional Inequality
  • Jordan Derivation

Publisher note

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Authors’ Affiliations

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


© Hark-Mahn Kim et al. 2008

This article is published under license to BioMed Central Ltd. 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.