On the Stability of Trigonometric Functional Equations in Distributions and Hyperfunctions

We consider the Hyers-Ulam stability for a class of trigonometric functional equations in the spaces of generalized functions such as Schwartz distributions and Gelfand hyperfunctions.

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Main Authors: Jaeyoung Chung, Jeongwook Chang
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/275915
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author Jaeyoung Chung
Jeongwook Chang
author_facet Jaeyoung Chung
Jeongwook Chang
author_sort Jaeyoung Chung
collection DOAJ
description We consider the Hyers-Ulam stability for a class of trigonometric functional equations in the spaces of generalized functions such as Schwartz distributions and Gelfand hyperfunctions.
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institution Kabale University
issn 1085-3375
1687-0409
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publishDate 2013-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-924bb113b7374b0889957efb66ebbc642025-02-03T05:45:55ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/275915275915On the Stability of Trigonometric Functional Equations in Distributions and HyperfunctionsJaeyoung Chung0Jeongwook Chang1Department of Mathematics, Kunsan National University, Kunsan 573-701, Republic of KoreaDepartment of Mathematics Education, Dankook University, Yongin 448-701, Republic of KoreaWe consider the Hyers-Ulam stability for a class of trigonometric functional equations in the spaces of generalized functions such as Schwartz distributions and Gelfand hyperfunctions.http://dx.doi.org/10.1155/2013/275915
spellingShingle Jaeyoung Chung
Jeongwook Chang
On the Stability of Trigonometric Functional Equations in Distributions and Hyperfunctions
Abstract and Applied Analysis
title On the Stability of Trigonometric Functional Equations in Distributions and Hyperfunctions
title_full On the Stability of Trigonometric Functional Equations in Distributions and Hyperfunctions
title_fullStr On the Stability of Trigonometric Functional Equations in Distributions and Hyperfunctions
title_full_unstemmed On the Stability of Trigonometric Functional Equations in Distributions and Hyperfunctions
title_short On the Stability of Trigonometric Functional Equations in Distributions and Hyperfunctions
title_sort on the stability of trigonometric functional equations in distributions and hyperfunctions
url http://dx.doi.org/10.1155/2013/275915
work_keys_str_mv AT jaeyoungchung onthestabilityoftrigonometricfunctionalequationsindistributionsandhyperfunctions
AT jeongwookchang onthestabilityoftrigonometricfunctionalequationsindistributionsandhyperfunctions