Hyers-ulam stability of an n-variable quartic functional equation
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Govindan, V. | - |
dc.contributor.author | Hwang, I. | - |
dc.contributor.author | Park, C. | - |
dc.date.accessioned | 2022-07-08T20:18:06Z | - |
dc.date.available | 2022-07-08T20:18:06Z | - |
dc.date.created | 2021-05-13 | - |
dc.date.issued | 2020 | - |
dc.identifier.issn | 2473-6988 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/146495 | - |
dc.description.abstract | In this note we investigate the general solution for the quartic functional equation of the form (3n + 4) f(Sigma(n)(i=1) x(i)) + Sigma(n)(j=1)f(-nx(j) + Sigma(n)(i=1,i not equal j) x(i)) = (n(2) + 2n + 1) Sigma(n)(i=1,i not equal j not equal k) f(x(i) + x(j) + x(k)) -1/2(3n(3) - 2n(2) - 13n - 8) Sigma(n)(i=1,i not equal j) f(x(i) + x(j)) +1/2(n(3) + 2n(2) + n) Sigma(n)(i=1,i not equal j) f(x(i) - x(j)) + 1/2(3n(4) - 5n(3) - 7n(2) +13n + 12) Sigma(n)(i=1) f(x(i)) (n epsilon N, n > 4) and also investigate the Hyers-Ulam stability of the quartic functional equation in random normed spaces using the direct approach and the fixed point approach. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | American Institute of Mathematical Sciences | - |
dc.title | Hyers-ulam stability of an n-variable quartic functional equation | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Park, C. | - |
dc.identifier.doi | 10.3934/math.2021089 | - |
dc.identifier.scopusid | 2-s2.0-85097800563 | - |
dc.identifier.wosid | 000624934700026 | - |
dc.identifier.bibliographicCitation | AIMS Mathematics, v.6, no.2, pp.1452 - 1469 | - |
dc.relation.isPartOf | AIMS Mathematics | - |
dc.citation.title | AIMS Mathematics | - |
dc.citation.volume | 6 | - |
dc.citation.number | 2 | - |
dc.citation.startPage | 1452 | - |
dc.citation.endPage | 1469 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | RASSIAS STABILITY | - |
dc.subject.keywordAuthor | quartic functional equation | - |
dc.subject.keywordAuthor | fixed point method | - |
dc.subject.keywordAuthor | Hyers-Ulam stability | - |
dc.subject.keywordAuthor | random normed space | - |
dc.subject.keywordAuthor | direct method | - |
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