Open Access

Functional Inequalities Associated with Jordan-von Neumann-Type Additive Functional Equations

Journal of Inequalities and Applications20062007:041820

DOI: 10.1155/2007/41820

Received: 27 September 2006

Accepted: 1 November 2006

Published: 28 December 2006

Abstract

We prove the generalized Hyers‐Ulam stability of the following functional inequalities: , , in the spirit of the Rassias stability approach for approximately homomorphisms.

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Authors’ Affiliations

(1)
Department of Mathematics, Hanyang University
(2)
Department of Mathematics, Chungnam National University

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Copyright

© Choonkil Park et al. 2007

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.