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초록
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.
키워드
Generalized Hyers-Ulam stability; functional inequality; additive mapping in Banach modules over a C*-algebra; ULAM-RASSIAS STABILITY; APPROXIMATELY LINEAR MAPPINGS; BANACH-SPACES; ADDITIVE MAPPINGS; EQUATION; HOMOMORPHISMS; ALGEBRAS
- 제목
- On a Cauchy-Jensen Functional Inequality
- 저자
- Najati, Abbas; Lee, Jung-Rye; Park, Choonkil
- 발행일
- 2010-03
- 유형
- Article
- 권
- 33
- 호
- 2
- 페이지
- 253 ~ 263