On Stability of a Functional Equation Connected with the Reynolds Operator

On Stability of a Functional Equation Connected with the Reynolds Operator

Let (X,∘) be an Abelain semigroup, g:X→X, and let K be either ℠or ℂ. We prove superstability of the functional equation f(x∘g(y))=f(x)f(y) in the class of functions f:X→K. We also show some stability results of the equation in the class of functions f:X→Kn....

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Main Author: Adam Najdecki
Format: Article
Language:English
Published: SpringerOpen 2007-01-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2007/79816
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spelling doaj-8eb1c2ea2925448f8ac10d4c2d736c9b2020-11-24T22:20:27ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2007-01-01200710.1155/2007/79816On Stability of a Functional Equation Connected with the Reynolds OperatorAdam NajdeckiLet (X,∘) be an Abelain semigroup, g:X→X, and let K be either ℠or ℂ. We prove superstability of the functional equation f(x∘g(y))=f(x)f(y) in the class of functions f:X→K. We also show some stability results of the equation in the class of functions f:X→Kn.http://dx.doi.org/10.1155/2007/79816
collection DOAJ
language English
format Article
sources DOAJ
author Adam Najdecki
spellingShingle Adam Najdecki
On Stability of a Functional Equation Connected with the Reynolds Operator
Journal of Inequalities and Applications
author_facet Adam Najdecki
author_sort Adam Najdecki
title On Stability of a Functional Equation Connected with the Reynolds Operator
title_short On Stability of a Functional Equation Connected with the Reynolds Operator
title_full On Stability of a Functional Equation Connected with the Reynolds Operator
title_fullStr On Stability of a Functional Equation Connected with the Reynolds Operator
title_full_unstemmed On Stability of a Functional Equation Connected with the Reynolds Operator
title_sort on stability of a functional equation connected with the reynolds operator
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2007-01-01
description Let (X,∘) be an Abelain semigroup, g:X→X, and let K be either ℠or ℂ. We prove superstability of the functional equation f(x∘g(y))=f(x)f(y) in the class of functions f:X→K. We also show some stability results of the equation in the class of functions f:X→Kn.
url http://dx.doi.org/10.1155/2007/79816
work_keys_str_mv AT adamnajdecki onstabilityofafunctionalequationconnectedwiththereynoldsoperator
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