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Additive functional inequalities in 2-Banach spaces.

Authors :
Park, Choonkil
Source :
Journal of Inequalities & Applications. Dec2013, Vol. 2013 Issue 1, p1-10. 10p.
Publication Year :
2013

Abstract

We prove the Hyers-Ulam stability of the Cauchy functional inequality and the Cauchy-Jensen functional inequality in 2-Banach spaces. Moreover, we prove the superstability of the Cauchy functional inequality and the Cauchy-Jensen functional inequality in 2-Banach spaces under some conditions. MSC: 39B82, 39B52, 39B62, 46B99, 46A19. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10255834
Volume :
2013
Issue :
1
Database :
Academic Search Index
Journal :
Journal of Inequalities & Applications
Publication Type :
Academic Journal
Accession number :
92013123
Full Text :
https://doi.org/10.1186/1029-242X-2013-447