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A result of Tosio Aoki about a generalization of Hyers-Ulam stability of additive functions: a question of priority
LuleƄ University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.ORCID iD: 0000-0002-9584-4083
2008 (English)In: Aequationes Mathematicae, ISSN 0001-9054, E-ISSN 1420-8903, Vol. 75, no 3, 289-296 p.Article in journal (Refereed) Published
Abstract [en]

In 1940 Ulam proposed the well-known stability problem. In 1941 Hyers solved this problem for additive mappings. In 1950 Aoki proved a more general result, which was rediscovered again in 1978 by Rassias, and from then it is called by some authors the Hyers-Ulam-Rassias (HUR) stability theorem. We show here that, in fact, this theorem merits the name Hyers-Ulam-Aoki (HUA) stability theorem.

Place, publisher, year, edition, pages
2008. Vol. 75, no 3, 289-296 p.
National Category
Mathematical Analysis
Research subject
Mathematics
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URN: urn:nbn:se:ltu:diva-12974DOI: 10.1007/s00010-007-2892-8Local ID: c1f38120-7ae6-11dc-a72d-000ea68e967bOAI: oai:DiVA.org:ltu-12974DiVA: diva2:985925
Note
Validerad; 2008; 20071015 (evan)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2017-11-24Bibliographically approved

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