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Additive functional inequalities in Banach spaces
- Authors
- Lu, Gang; Park, Choonkil
- Issue Date
- Dec-2012
- Publisher
- Gordon and Breach Science Publishers
- Keywords
- Hyers-Ulam stability; additive functional inequality; additive mapping
- Citation
- Journal of Inequalities and Applications, pp 1 - 10
- Pages
- 10
- Indexed
- SCIE
SCOPUS
- Journal Title
- Journal of Inequalities and Applications
- Start Page
- 1
- End Page
- 10
- ISSN
- 1025-5834
1029-242X
- Abstract
- In this paper, we prove the Hyers-Ulam stability of the following function inequalities: parallel to f(x) + f(y) + f(z)parallel to <= parallel to Kf(x+y+z/K)parallel to (0 < vertical bar K vertical bar < 3), parallel to f(x) + f(y) + Kf(z) <= parallel to Kf(x+y/K+z)parallel to (0 < K not equal 2) in Banach spaces. MSC: Primary 39B62; 39B52; 46B25
- Appears in
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