Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 박춘길 | - |
dc.date.accessioned | 2019-05-28T00:21:11Z | - |
dc.date.available | 2019-05-28T00:21:11Z | - |
dc.date.issued | 2017-01 | - |
dc.identifier.citation | JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, v. 10, no. 1, page. 104-110 | en_US |
dc.identifier.issn | 2008-1898 | - |
dc.identifier.issn | 2008-1901 | - |
dc.identifier.uri | https://www.isr-publications.com/jnsa/articles-3159-quadratic-rho-functional-inequalities-in-beta-homogeneous-normed-spaces | - |
dc.identifier.uri | https://repository.hanyang.ac.kr/handle/20.500.11754/106041 | - |
dc.description.abstract | In this paper, we solve the quadratic rho-functional inequalitiesparallel to f(x + y) + f(x- y) - 2f(x) - 2f(y)parallel to <= parallel to rho (4f (x + y/2) + f (x - y) - 2f(x) - 2f(y)parallel to,where rho is a fixed complex number with vertical bar rho vertical bar < 1, andparallel to 4f (x + y/2) + f (x - y) - 2f(x) - 2f(y)parallel to <= parallel to rho(f(x + y) + f(x - y) - 2f(x) - 2f (y))parallel to,where rho is a fixed complex number with vertical bar rho vertical bar < 1.Using the direct method, we prove the Hyers-Ulam stability of the quadratic beta-functional inequalities (1) and (2) in fi homogeneous complex Banach spaces. (C) 2017 all rights reserved. | en_US |
dc.description.sponsorship | G. Lu was supported by Doctoral Science Foundation of Shengyang University of Technology (No. 521101302), the Project Sponsored by the Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry and natural fund of Liaoning Province (No. 201602547). Y. Jin was supported by National Natural Science Foundation of China (11361066), the study of high-precision algorithm for high dimensional delay partial differential equations 2014-2017. | en_US |
dc.language.iso | en | en_US |
dc.publisher | INT SCIENTIFIC RESEARCH PUBLICATIONS | en_US |
dc.subject | Hyers-Ulam stability | en_US |
dc.subject | beta-homogeneous space | en_US |
dc.subject | quadratic rho-functional inequality | en_US |
dc.title | Quadratic rho-functional inequalities in beta-homogeneous normed spaces | en_US |
dc.type | Article | en_US |
dc.relation.no | 1 | - |
dc.relation.volume | 10 | - |
dc.identifier.doi | 10.22436/jnsa.010.01.10 | - |
dc.relation.page | 104-110 | - |
dc.relation.journal | JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | - |
dc.contributor.googleauthor | Park, Choonkil | - |
dc.contributor.googleauthor | Lu, Gang | - |
dc.contributor.googleauthor | Cui, Yinhua | - |
dc.contributor.googleauthor | Jin, Yuanfeng | - |
dc.relation.code | 2017008808 | - |
dc.sector.campus | S | - |
dc.sector.daehak | COLLEGE OF NATURAL SCIENCES[S] | - |
dc.sector.department | DEPARTMENT OF MATHEMATICS | - |
dc.identifier.pid | baak | - |
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