Stability of Trigonometric Functional Equations in Generalized Functions

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

Bibliographic Details
Main Authors: Jeongwook Chang, Jaeyoung Chung
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2010/801502
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author Jeongwook Chang
Jaeyoung Chung
author_facet Jeongwook Chang
Jaeyoung Chung
author_sort Jeongwook Chang
collection DOAJ
description We consider the Hyers-Ulam stability of a class of trigonometric functional equations in the spaces of generalized functions such as Schwartz distributions, Fourier hyperfunctions, and Gelfand generalized functions.
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issn 1025-5834
1029-242X
language English
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spelling doaj.art-6bb9ea3c5492438380bb09d74802092d2022-12-22T03:26:56ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-01201010.1155/2010/801502Stability of Trigonometric Functional Equations in Generalized FunctionsJeongwook ChangJaeyoung ChungWe consider the Hyers-Ulam stability of a class of trigonometric functional equations in the spaces of generalized functions such as Schwartz distributions, Fourier hyperfunctions, and Gelfand generalized functions.http://dx.doi.org/10.1155/2010/801502
spellingShingle Jeongwook Chang
Jaeyoung Chung
Stability of Trigonometric Functional Equations in Generalized Functions
Journal of Inequalities and Applications
title Stability of Trigonometric Functional Equations in Generalized Functions
title_full Stability of Trigonometric Functional Equations in Generalized Functions
title_fullStr Stability of Trigonometric Functional Equations in Generalized Functions
title_full_unstemmed Stability of Trigonometric Functional Equations in Generalized Functions
title_short Stability of Trigonometric Functional Equations in Generalized Functions
title_sort stability of trigonometric functional equations in generalized functions
url http://dx.doi.org/10.1155/2010/801502
work_keys_str_mv AT jeongwookchang stabilityoftrigonometricfunctionalequationsingeneralizedfunctions
AT jaeyoungchung stabilityoftrigonometricfunctionalequationsingeneralizedfunctions