Jordan-von Neumann type functional inequalities
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kwon, Young Hak | - |
dc.contributor.author | Park, Choonkil | - |
dc.contributor.author | Lee, Ho Min | - |
dc.contributor.author | Sim, Jeong Soo | - |
dc.contributor.author | Yang, Jeha | - |
dc.date.accessioned | 2022-12-21T06:22:17Z | - |
dc.date.available | 2022-12-21T06:22:17Z | - |
dc.date.created | 2022-09-19 | - |
dc.date.issued | 2007-09 | - |
dc.identifier.issn | 1226-3524 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/179556 | - |
dc.description.abstract | It is shown that $f: \mathbb R \rightarrow \mathbb R$ satisfies the following functional inequalities \begin{eqnarray} |f(x)+f(y)| & \le & | f(x+y)| , \\ |f(x)+f(y)| & \le & |2f(\frac{x+y}{2})| , \\ |f(x)+f(y)-2f(\frac{x-y}{2})| & \le & |2f(\frac{x+y}{2})| , \end{eqnarray} respectively, then the function $f: \mathbb R \rightarrow \mathbb R$ satisfies the Cauchy functional equation, the Jensen functional equation and the Jensen quadratic functional equation, respectively. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | 충청수학회 | - |
dc.title | Jordan-von Neumann type functional inequalities | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Park, Choonkil | - |
dc.identifier.bibliographicCitation | 충청수학회지, v.20, no.3, pp.269 - 277 | - |
dc.relation.isPartOf | 충청수학회지 | - |
dc.citation.title | 충청수학회지 | - |
dc.citation.volume | 20 | - |
dc.citation.number | 3 | - |
dc.citation.startPage | 269 | - |
dc.citation.endPage | 277 | - |
dc.type.rims | ART | - |
dc.identifier.kciid | ART001206125 | - |
dc.description.journalClass | 2 | - |
dc.description.isOpenAccess | N | - |
dc.description.journalRegisteredClass | kci | - |
dc.description.journalRegisteredClass | other | - |
dc.subject.keywordAuthor | Jordan--von Neumann functional equation | - |
dc.subject.keywordAuthor | functionalinequality | - |
dc.identifier.url | https://scholar.kyobobook.co.kr/article/detail/4010026001996 | - |
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