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초록
In this paper, we introduce the following new additive s-functional inequalities ||f(x - y) + f(y) + f(-x)II ≤ ||s (f(x + y) - f-x) - f(y)) || (0.1) ||f(x + y) - f-x) - f(y)|| ≤ ||s (f(x - y) + f(y) + f(-x)) ||, (0.2) where s is a fixed complex number with |s| < 1, and prove the Hyers-Ulam stability of linear derivations on Banach algebras associated to the additive s-functional inequalities (0.1) and (0.2).
키워드
derivation on Banach algebra; additive s-functional inequality; direct method; HyersUlam stability
- 제목
- Additive s-functional inequalities and derivations on Banach algebras
- 저자
- Kim, T; Jo, Y; Park, J; Kim, J; Park, C; Lee, JR
- 발행일
- 2019-10
- 유형
- Article
- 권
- 27
- 호
- 5
- 페이지
- 917 ~ 924