Published: 2019-05-09

Stability of functional equations and properties of groups

Gian Luigi Forti

Abstract

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.

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Forti, G. L. (2019). Stability of functional equations and properties of groups. Annales Mathematicae Silesianae, 33, 77–96. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13652

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Domyślna okładka

Vol. 33 (2019)
Published: 2019-07-18


ISSN: 0860-2107
eISSN: 2391-4238
Ikona DOI 10.1515/amsil

Publisher
University of Silesia Press

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