ADDITIVE-QUADRATIC ρ-FUNCTIONAL INEQUALITIES IN β-HOMOGENEOUS NORMED SPACES
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Yun, Sungsik | - |
dc.contributor.author | Anastassiou, George A. | - |
dc.contributor.author | Park, Choonkil | - |
dc.date.accessioned | 2022-07-15T04:18:40Z | - |
dc.date.available | 2022-07-15T04:18:40Z | - |
dc.date.created | 2021-05-12 | - |
dc.date.issued | 2016-11 | - |
dc.identifier.issn | 1521-1398 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/153608 | - |
dc.description.abstract | In this paper, we solve the following additive-quadratic p-functional inequalities parallel to f(x + y) + f(x - y) - 2f(x) - f(y) - f(-y)parallel to (0.1) <= parallel to rho(2f (x + y/2) +2f (x - y/2) -3/2f(x) + 1/2f(x) -1/2f(y) - 1/2f(-y))parallel to, where rho is a fixed complex number with vertical bar rho vertical bar < 1, and parallel to 2f (x + y/2) + 2f (x - y/2) - 3/2f(x) + 1/2f(-x) - 1/2f(y) - 1/2f(-y)parallel to <=parallel to p(f(x + y) + f(x - y)- 2f(x) - f(y) - f(-y))parallel to, where rho is a fixed complex number with vertical bar rho vertical bar < 1/2-, and prove the Hyers-Ulam stability of the additive quadratic rho-functional inequalities (0.1) and (0.2) in beta-homogeneous complex Banach spaces and prove the Hyers-Ulam stability of additive-quadratic rho-functional equations associated with the additive-quadratic rho-functional inequalities (0.1) and (0.2) in beta-homogeneous complex Banach spaces. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | EUDOXUS PRESS, LLC | - |
dc.title | ADDITIVE-QUADRATIC ρ-FUNCTIONAL INEQUALITIES IN β-HOMOGENEOUS NORMED SPACES | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Park, Choonkil | - |
dc.identifier.scopusid | 2-s2.0-85014527617 | - |
dc.identifier.wosid | 000368960300008 | - |
dc.identifier.bibliographicCitation | JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v.21, no.5, pp.897 - 909 | - |
dc.relation.isPartOf | JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | - |
dc.citation.title | JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | - |
dc.citation.volume | 21 | - |
dc.citation.number | 5 | - |
dc.citation.startPage | 897 | - |
dc.citation.endPage | 909 | - |
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 | Computer Science | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Computer Science, Theory & Methods | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.subject.keywordPlus | HYERS-ULAM STABILITY | - |
dc.subject.keywordPlus | ASTERISK-HOMOMORPHISMS | - |
dc.subject.keywordPlus | FUZZY STABILITY | - |
dc.subject.keywordPlus | SUPERSTABILITY | - |
dc.subject.keywordPlus | DERIVATIONS | - |
dc.subject.keywordPlus | EQUATION | - |
dc.subject.keywordAuthor | Hyers-Ulam stability | - |
dc.subject.keywordAuthor | beta-homogeneous space | - |
dc.subject.keywordAuthor | additive-quadratic rho-functional equation | - |
dc.subject.keywordAuthor | additive-quadratic rho-functional inequality | - |
dc.identifier.url | http://www.eudoxuspress.com/images/VOLUME-21-JOCAAA-2016-ISSUE-5.pdf | - |
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