Stability of Jensen-Type Functional Equations on Restricted Domains in a Group and Their Asymptotic Behaviors
We consider the Hyers-Ulam stability problems for the Jensen-type functional equations in general restricted domains. The main purpose of this paper is to find the restricted domains for which the functional inequality satisfied in those domains extends to the inequality for whole domain. As consequ...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/691981 |
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| _version_ | 1832566910210801664 |
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| author | Jae-Young Chung Dohan Kim John Michael Rassias |
| author_facet | Jae-Young Chung Dohan Kim John Michael Rassias |
| author_sort | Jae-Young Chung |
| collection | DOAJ |
| description | We consider the Hyers-Ulam stability problems for the Jensen-type functional equations in general restricted domains. The main purpose of this paper is to find the restricted domains for which the functional inequality satisfied in those domains extends to the inequality for whole domain. As consequences of the results we obtain asymptotic behavior of the equations. |
| format | Article |
| id | doaj-art-9ac5d5d08d2242e39374ebb196a98704 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-9ac5d5d08d2242e39374ebb196a987042025-02-03T01:02:45ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/691981691981Stability of Jensen-Type Functional Equations on Restricted Domains in a Group and Their Asymptotic BehaviorsJae-Young Chung0Dohan Kim1John Michael Rassias2Department of Mathematics, Kunsan National University, Kunsan 573-701, Republic of KoreaDepartment of Mathematics, Seoul National University, Seoul 151-747, Republic of KoreaSection of Mathematics and Informatics, Pedagogical Department E. E., National and Kapodistrian University of Athens, 4 Agamemnonos Street, Aghia Paraskevi, 15342 Athens, GreeceWe consider the Hyers-Ulam stability problems for the Jensen-type functional equations in general restricted domains. The main purpose of this paper is to find the restricted domains for which the functional inequality satisfied in those domains extends to the inequality for whole domain. As consequences of the results we obtain asymptotic behavior of the equations.http://dx.doi.org/10.1155/2012/691981 |
| spellingShingle | Jae-Young Chung Dohan Kim John Michael Rassias Stability of Jensen-Type Functional Equations on Restricted Domains in a Group and Their Asymptotic Behaviors Journal of Applied Mathematics |
| title | Stability of Jensen-Type Functional Equations on Restricted Domains in a Group and Their Asymptotic Behaviors |
| title_full | Stability of Jensen-Type Functional Equations on Restricted Domains in a Group and Their Asymptotic Behaviors |
| title_fullStr | Stability of Jensen-Type Functional Equations on Restricted Domains in a Group and Their Asymptotic Behaviors |
| title_full_unstemmed | Stability of Jensen-Type Functional Equations on Restricted Domains in a Group and Their Asymptotic Behaviors |
| title_short | Stability of Jensen-Type Functional Equations on Restricted Domains in a Group and Their Asymptotic Behaviors |
| title_sort | stability of jensen type functional equations on restricted domains in a group and their asymptotic behaviors |
| url | http://dx.doi.org/10.1155/2012/691981 |
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