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- Publisher
- Springer Journals
- Copyright
- Copyright © 2008 by Springer Science+Business Media B.V.
- Subject
- Mathematics; Mathematics, general; Computer Science, general; Theoretical, Mathematical and Computational Physics; Complex Systems; Classical Mechanics
- ISSN
- 0167-8019
- eISSN
- 1572-9036
- DOI
- 10.1007/s10440-008-9210-x
- Publisher site
- See Article on Publisher Site
Abstract
This paper is a survey on the Hyers–Ulam–Rassias stability of the following Cauchy–Jensen functional equation in C *-algebras: $$2f\biggl(\frac{x+y}{2}+z\biggr)=f(x)+f(y)+2f(z).$$ The concept of Hyers–Ulam–Rassias stability originated from the Th.M. Rassias’ stability theorem (Rassias in Proc. Am. Math. Soc. 72:297–300, [1978]).
Journal
Acta Applicandae Mathematicae – Springer Journals
Published: Jan 23, 2008