Asymptotic behavior of Fréchet functional equation and some characterizations of inner product spaces
DC Field | Value | Language |
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dc.contributor.author | Park, Choonkil | - |
dc.contributor.author | Tareeghee, Mohammad Amin | - |
dc.contributor.author | Najati, Abbas | - |
dc.contributor.author | Yengejeh, Yavar Khedmati | - |
dc.contributor.author | Paokanta, Siriluk | - |
dc.date.accessioned | 2023-11-24T03:04:11Z | - |
dc.date.available | 2023-11-24T03:04:11Z | - |
dc.date.created | 2023-11-20 | - |
dc.date.issued | 2023-10 | - |
dc.identifier.issn | 0420-1213 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/192884 | - |
dc.description.abstract | This article presents the general solution f : G -> V of the following functional equation: f(x) - 4f(x + y) + 6f(x + 2y) - 4f(x + 3y) + f(x + 4y) = 0, x,y is an element of g,where (G, +) is an abelian group and N is a linear space. We also investigate its Hyers-Ulam stability on some restricted domains. We apply the obtained results to present some asymptotic behaviors of this functional equation in the framework of normed spaces. Finally, we provide some characterizations of inner product spaces associated with the mentioned functional equation. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | DE GRUYTER POLAND SP Z O O | - |
dc.title | Asymptotic behavior of Fréchet functional equation and some characterizations of inner product spaces | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Park, Choonkil | - |
dc.identifier.doi | 10.1515/dema-2023-0265 | - |
dc.identifier.scopusid | 2-s2.0-85176352371 | - |
dc.identifier.wosid | 001093434800001 | - |
dc.identifier.bibliographicCitation | DEMONSTRATIO MATHEMATICA, v.56, no.1, pp.1 - 13 | - |
dc.relation.isPartOf | DEMONSTRATIO MATHEMATICA | - |
dc.citation.title | DEMONSTRATIO MATHEMATICA | - |
dc.citation.volume | 56 | - |
dc.citation.number | 1 | - |
dc.citation.startPage | 1 | - |
dc.citation.endPage | 13 | - |
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 | - |
dc.subject.keywordPlus | ULAM STABILITY | - |
dc.subject.keywordPlus | MAPPINGS | - |
dc.subject.keywordAuthor | Hyers-Ulam stability | - |
dc.subject.keywordAuthor | quadratic function | - |
dc.subject.keywordAuthor | cubic function | - |
dc.subject.keywordAuthor | Frechet functional equation | - |
dc.subject.keywordAuthor | asymptotic behavior | - |
dc.identifier.url | https://www.degruyter.com/document/doi/10.1515/dema-2023-0265/html | - |
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