Local stability of the additive functional equation and its applications

The main purpose of this paper is to prove the Hyers-Ulam stability of the additive functional equation for a large class of unbounded domains. Furthermore, by using the theorem, we prove the stability of Jensen's functional equation for a large class of restricted domains.

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Bibliographic Details
Published in:International journal of mathematics and mathematical sciences 2003-01, Vol.2003 (1), p.15-26
Main Authors: Jung, Soon-Mo, Kim, Byungbae
Format: Article
Language:English
Online Access:Get full text
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Description
Summary:The main purpose of this paper is to prove the Hyers-Ulam stability of the additive functional equation for a large class of unbounded domains. Furthermore, by using the theorem, we prove the stability of Jensen's functional equation for a large class of restricted domains.
ISSN:0161-1712
1687-0425
DOI:10.1155/S016117120311037