On the stability of quadratic functional equations
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Lee, Jung Rye | - |
dc.contributor.author | An, Jong Su | - |
dc.contributor.author | Park, Choonkil | - |
dc.date.accessioned | 2022-10-07T10:37:28Z | - |
dc.date.available | 2022-10-07T10:37:28Z | - |
dc.date.created | 2022-08-26 | - |
dc.date.issued | 2008-03 | - |
dc.identifier.issn | 1085-3375 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/172115 | - |
dc.description.abstract | Let X, Y be vector spaces and k a fixed positive integer. It is shown that a mapping f (kx + y) + f (kx - y) = 2k(2)f(x) + 2f(y) for all x, y is an element of X if and only if the mapping f : X -> Y satisfies f(x + y) + f(x - y) = 2f(x) + 2f(y) for all x, y. X. Furthermore, the Hyers-Ulam-Rassias stability of the above functional equation in Banach spaces is proven | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | HINDAWI PUBLISHING CORPORATION | - |
dc.title | On the stability of quadratic functional equations | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Park, Choonkil | - |
dc.identifier.doi | 10.1155/2008/628178 | - |
dc.identifier.scopusid | 2-s2.0-43949130716 | - |
dc.identifier.wosid | 000255609200001 | - |
dc.identifier.bibliographicCitation | ABSTRACT AND APPLIED ANALYSIS, pp.1 - 8 | - |
dc.relation.isPartOf | ABSTRACT AND APPLIED ANALYSIS | - |
dc.citation.title | ABSTRACT AND APPLIED ANALYSIS | - |
dc.citation.startPage | 1 | - |
dc.citation.endPage | 8 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | Y | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | HYERS-ULAM STABILITY | - |
dc.subject.keywordPlus | LINEAR MAPPINGS | - |
dc.subject.keywordPlus | SPACES | - |
dc.identifier.url | https://www.hindawi.com/journals/aaa/2008/628178/ | - |
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.
222, Wangsimni-ro, Seongdong-gu, Seoul, 04763, Korea+82-2-2220-1365
COPYRIGHT © 2021 HANYANG UNIVERSITY.
Certain data included herein are derived from the © Web of Science of Clarivate Analytics. All rights reserved.
You may not copy or re-distribute this material in whole or in part without the prior written consent of Clarivate Analytics.