On the Generalized Hyers-UlamStability of a Cauchy-Jensen Functional Equation



Abstract and Applied Analysis
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On the Generalized Hyers-UlamStability of a Cauchy-Jensen Functional Equation

Kil-Woung Jun, Yang-Hi Lee, and Young-Sun Cho

Source: Abstr. Appl. Anal. Volume 2007 (2007), 15 pages.

Abstract

In 2006, W. G. Park and J. H. Bae investigated the Hyers-Ulam stability of a Cauchy-Jensen functional equation. In this paper, we improve their results and obtain better results for a Cauchy-Jensen functional equation. Also, we establish new theorems for the generalized Hyers-Ulam stability of a Cauchy-Jensen functional equation.

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.aaa/1204126610
Digital Object Identifier: doi:10.1155/2007/35151
Mathematical Reviews number (MathSciNet): MR2375451

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