Local stability of the additive functional equation and its applications
type: Item
instance of: scholarly article
title: Local stability of the additive functional equation and its applications
zbMATH Open document ID: 1017.39009
DOI: 10.1155/S016117120311037X
author: Byungbae Kim
author: Soon-Mo Jung
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2003-03-17T00:00:00Z
full work available at URL: https://eudml.org/doc/50205
review text: The Hyers-Ulam stability of the additive functional equation for a large class of unbounded domains in Banach space is proved. Loosely speaking, it is proved that if a mapping \(f\) satisfies the additivity property approximately then there exists unique approximating additive mapping for \(f\). The result is applied to investigation of the stability of Jensen's functional equation.
reviewed by: Claudi Alsina
Mathematics Subject Classification ID: 39B82
Mathematics Subject Classification ID: 39B52
Mathematics Subject Classification ID: 39B55
zbMATH DE Number: 1883655
zbMATH Keywords: local stability
zbMATH Keywords: additive functional equation
zbMATH Keywords: Hyers-Ulam stability
zbMATH Keywords: Banach space
zbMATH Keywords: additive mapping
zbMATH Keywords: Jensen's functional equation
MaRDI profile type: Publication
OpenAlex ID: W2164216606
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description: scientific article; zbMATH DE number 1883655