Open Access

On Functional Inequalities Originating from Module Jordan Left Derivations

Journal of Inequalities and Applications20082008:278505

https://doi.org/10.1155/2008/278505

Received: 18 February 2008

Accepted: 19 May 2008

Published: 22 May 2008

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.

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Authors’ Affiliations

(1)
Department of Mathematics, Chungnam National University
(2)
Department of Industrial Mathematics, National Institute for Mathematical Sciences
(3)
Department of Mathematics, Mokwon University

Copyright

© 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.