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On a Cauchy-Jensen Functional Inequality
- Authors
- Najati, Abbas; Lee, Jung-Rye; Park, Choonkil
- Issue Date
- Mar-2010
- Publisher
- Springer Science+Business Media Singapore
- Keywords
- Generalized Hyers-Ulam stability; functional inequality; additive mapping in Banach modules over a C*-algebra
- Citation
- Bulletin of the Malaysian Mathematical Sciences Society, v.33, no.2, pp 253 - 263
- Pages
- 11
- Indexed
- SCIE
SCOPUS
- Volume
- 33
- Number
- 2
- Start Page
- 253
- End Page
- 263
- ISSN
- 0126-6705
2180-4206
- Abstract
- In this paper, we investigate the following functional inequality parallel to f(x) + f(y) + 2f (x+y/2 + z)parallel to <= 2 parallel to f(x + y + z)parallel to in Banach modules over a C*-algebra, and prove the generalized Hyers-Ulam stability of additive mappings in Banach modules over a C*-algebra to approximate homomorphisms.
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