On the Stability of a New Pexider-Type Functional Equation

Kil-Woung Jun; Yang-Hi Lee; Juri Lee

doi:10.1155/2008/816963

Research Article
Open Access

On the Stability of a New Pexider-Type Functional Equation

Kil-Woung Jun^{1, 2},
Yang-Hi Lee³Email author and
Juri Lee⁴

Journal of Inequalities and Applications20082008:816963

https://doi.org/10.1155/2008/816963

Received: 1 October 2007
Accepted: 31 January 2008
Published: 13 February 2008

Abstract

We establish the generalized Hyers-Ulam stability of a Pexider-type functonal equation , which is mixed of a quadratic and an additive functional equations. Also, we obtain its general solution from the stability results.

Keywords

Functional Equation
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Authors’ Affiliations

(1)

National Institute for Mathematical Sciences, Daejeon, 305-340, South Korea

(2)

Department of Mathematics, Chungnam National University, Daejeon, 305-764, South Korea

(3)

Department of Mathematics Education, Gongju National University of Education, Gongju, 314-711, South Korea

(4)

Department of Mathematics, Chungnam National University, Daejeon, 305-764, South Korea

Copyright

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.