Approximation Properties of Solutions of a Mean Value-Type Functional Inequality, II
DC Field | Value | Language |
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dc.contributor.author | Jung, Soon-Mo | - |
dc.contributor.author | Lee, Ki-Suk | - |
dc.contributor.author | Rassias, Michael Th. | - |
dc.contributor.author | Yang, Sung-Mo | - |
dc.date.available | 2021-03-17T06:52:04Z | - |
dc.date.created | 2021-02-26 | - |
dc.date.issued | 2020-08 | - |
dc.identifier.issn | 2227-7390 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/11615 | - |
dc.description.abstract | Let X be a commutative normed algebra with a unit element e (or a normed field of characteristic different from 2), where the associated normis sub-multiplicative. We prove the generalized Hyers-Ulam stability of a mean value-type functional equation, f (x) - g(y) = (x - y)h(sx + ty), where f, g, h : X -> X are functions. The above mean value-type equation plays an important role in the mean value theorem and has an interesting property that characterizes the polynomials of degree at most one. We also prove theHyers-Ulamstability of that functional equation under some additional conditions. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | MDPI | - |
dc.title | Approximation Properties of Solutions of a Mean Value-Type Functional Inequality, II | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Jung, Soon-Mo | - |
dc.identifier.doi | 10.3390/math8081299 | - |
dc.identifier.scopusid | 2-s2.0-85089742663 | - |
dc.identifier.wosid | 000564719100001 | - |
dc.identifier.bibliographicCitation | MATHEMATICS, v.8, no.8, pp.1 - 8 | - |
dc.relation.isPartOf | MATHEMATICS | - |
dc.citation.title | MATHEMATICS | - |
dc.citation.volume | 8 | - |
dc.citation.number | 8 | - |
dc.citation.startPage | 1 | - |
dc.citation.endPage | 8 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordAuthor | Hyers-Ulam stability | - |
dc.subject.keywordAuthor | Hyers-Ulam-Rassias stability | - |
dc.subject.keywordAuthor | generalized Hyers-Ulam stability | - |
dc.subject.keywordAuthor | mean value-type functional equation | - |
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