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On Ulam's Type Stability of the Cauchy Additive Equation

We prove a general result on Ulam's type stability of the functional equation f(x + y) = f(x) + f(y), in the class of functions mapping a commutative group into a commutative group. As a consequence, we deduce from it some hyperstability outcomes. Moreover, we also show how to use that result t...

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Detalles Bibliográficos
Autor principal: Brzdęk, Janusz
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3970066/
https://www.ncbi.nlm.nih.gov/pubmed/24715815
http://dx.doi.org/10.1155/2014/540164