Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 박춘길 | - |
dc.date.accessioned | 2017-09-13T05:32:32Z | - |
dc.date.available | 2017-09-13T05:32:32Z | - |
dc.date.issued | 2015-11 | - |
dc.identifier.citation | ACTA MATHEMATICA SCIENTIA, v. 35, NO 6, Page. 1501-1510 | en_US |
dc.identifier.issn | 0252-9602 | - |
dc.identifier.issn | 1572-9087 | - |
dc.identifier.uri | http://www.sciencedirect.com/science/article/pii/S0252960215300710?via%3Dihub | - |
dc.identifier.uri | http://hdl.handle.net/20.500.11754/29104 | - |
dc.description.abstract | In this paper, we solve the quadratic rho-functional inequalities parallel to f(x + y) + f(x - y) - 2f(x) - 2f(y)parallel to ˂= parallel to rho(2f (x+y/2) + 2f (x - y/2) - f(x) - f(y))parallel to, (0.1) 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) - f(x) - f(y)parallel to ˂=parallel to rho(f(x + y) + f(x - y) - 2f(x) - 2f(y))parallel to, (0.2) where rho is a fixed complex number with vertical bar rho vertical bar ˂ 1/2. Using the direct method, we prove the Hyers-Ulam stability of the quadratic rho-functional inequalities (0.1) and (0.2) in complex Banach spaces and prove the Hyers-Ulam stability of quadratic rho-functional equations associated with the quadratic rho-functional inequalities (0.1) and (0.2) in complex Banach spaces. | en_US |
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). | en_US |
dc.language.iso | en | en_US |
dc.publisher | ELSEVIER SCIENCE INC | en_US |
dc.subject | Hyers-Ulam stability | en_US |
dc.subject | quadratic rho-functional equation | en_US |
dc.subject | quadratic rho-functional inequality | en_US |
dc.subject | complex Banach space | en_US |
dc.title | QUADRATIC rho-FUNCTIONAL INEQUALITIES IN BANACH SPACES | en_US |
dc.type | Article | en_US |
dc.relation.no | 6 | - |
dc.relation.volume | 35 | - |
dc.identifier.doi | 10.1016/S0252-9602(15)30071-0 | - |
dc.relation.page | 1501-1510 | - |
dc.relation.journal | ACTA MATHEMATICA SCIENTIA | - |
dc.contributor.googleauthor | Park, Choonkil | - |
dc.relation.code | 2015006926 | - |
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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