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  • Research Article
  • Open Access

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

Journal of Inequalities and Applications20062007:041820

  • Received: 27 September 2006
  • Accepted: 1 November 2006
  • Published:


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


  • Functional Equation
  • Functional Inequality
  • Stability Approach
  • Rassias Stability
  • Additive Functional Equation


Authors’ Affiliations

Department of Mathematics, Hanyang University, Seoul, 133‐791, South Korea
Department of Mathematics, Chungnam National University, Daejeon, 305‐764, South Korea


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© 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.