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On the stability of generalized additive functional inequalities in Banach spaces
- Authors
- Lee, Jung Rye; Park, Choonkil; Shin, Dong Yun
- Issue Date
- May-2008
- Publisher
- Gordon and Breach Science Publishers
- Citation
- Journal of Inequalities and Applications, pp 1 - 13
- Pages
- 13
- Indexed
- SCIE
SCOPUS
- Journal Title
- Journal of Inequalities and Applications
- Start Page
- 1
- End Page
- 13
- ISSN
- 1025-5834
1029-242X
- Abstract
- We study the following generalized additive functional inequality parallel to af(x) + bf(y) + cf (z)parallel to <= parallel to f(alpha x + beta y + gamma z)parallel to, associated with linear mappings in Banach spaces. Moreover, we prove the Hyers-Ulam-Rassias stability of the above generalized additive functional inequality, associated with linear mappings in Banach spaces.
- Appears in
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