Stability of Functional Equations and Properties of Groups

Stability of Functional Equations and Properties of Groups

Investigating Hyers–Ulam stability of the additive Cauchy equation with domain in a group G, in order to obtain an additive function approximating the given almost additive one we need some properties of G, starting from commutativity to others more sophisticated. The aim of this survey is to presen...

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Bibliographic Details
Main Author: Forti Gian Luigi
Format: Article
Language:English
Published: Sciendo 2019-09-01
Series:Annales Mathematicae Silesianae
Subjects:
additive functional equation
quadratic functional equation
stability
amenable group
weak commutativity
39B82
20F12
43A07
Online Access:http://www.degruyter.com/view/j/amsil.2019.33.issue-1/amsil-2019-0004/amsil-2019-0004.xml?format=INT
Description
Summary:Investigating Hyers–Ulam stability of the additive Cauchy equation with domain in a group G, in order to obtain an additive function approximating the given almost additive one we need some properties of G, starting from commutativity to others more sophisticated. The aim of this survey is to present these properties and compare, as far as possible, the classes of groups involved.
ISSN:2391-4238

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