Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 박춘길 | - |
dc.date.accessioned | 2018-03-26T04:06:00Z | - |
dc.date.available | 2018-03-26T04:06:00Z | - |
dc.date.issued | 2014-10 | - |
dc.identifier.citation | JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, v. 7, no. 5, Page. 296-310 | - |
dc.identifier.issn | 2008-1898 | - |
dc.identifier.issn | 2008-1901 | - |
dc.identifier.uri | http://hdl.handle.net/20.500.11754/52227 | - |
dc.identifier.uri | https://www.isr-publications.com/jnsa/articles-1672-additive-rho-functional-inequalities | - |
dc.description.abstract | In this paper, we solve the additive rho-functional inequalities parallel to f(x + y) - f(x) - f(y)parallel to ˂= parallel to rho(2f(x+ y/2) - f(x) - f(y))parallel to, (1) parallel to 2f(x + y/2) - f(x) - f(y)parallel to ˂= parallel to rho(f(x + y) - f(x) - f(y))parallel to, (2) where rho is a fixed non-Archimedean number with vertical bar rho vertical bar ˂ 1 or 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 additive rho-functional inequalities (I) and (2) in non-Archimedean Banach spaces and in complex Banach spaces, and prove the Hyers-Ulam stability of additive rho-functional equations associated with the additive rho-functional inequalities (1) and (2) in non-Archimedean Banach spaces and in complex Banach spaces. (C)2014 All rights reserved. | - |
dc.description.sponsorship | This work was supported by Basic Science Research Program through the National Research Foundation of Korea funded by the Ministry of Education, Science and Technology (NRF-2012R1A1A2004299). | - |
dc.language.iso | en | - |
dc.publisher | INT SCIENTIFIC RESEARCH PUBLICATIONS | - |
dc.subject | Hyers-Ulam stability | - |
dc.subject | additive rho-functional equation | - |
dc.subject | additive rho-functional inequality | - |
dc.subject | non-Archimedean normed space | - |
dc.subject | Banach space | - |
dc.title | Additive rho-functional inequalities | - |
dc.type | Article | - |
dc.relation.volume | 7 | - |
dc.relation.page | 296-310 | - |
dc.relation.journal | JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | - |
dc.contributor.googleauthor | Park, Choonkil | - |
dc.relation.code | 2014042597 | - |
dc.sector.campus | S | - |
dc.sector.daehak | COLLEGE OF NATURAL SCIENCES[S] | - |
dc.sector.department | DEPARTMENT OF MATHEMATICS | - |
dc.identifier.pid | baak | - |
dc.identifier.researcherID | F-6998-2017 | - |
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