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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

https://doi.org/10.1155/2007/41820

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

Abstract

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

Keywords

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

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Authors’ Affiliations

(1)
Department of Mathematics, Hanyang University, Seoul, 133‐791, South Korea
(2)
Department of Mathematics, Chungnam National University, Daejeon, 305‐764, South Korea

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