Additive s-functional inequalities and derivations on Banach algebras
- Authors
- Kim, T; Jo, Y; Park, J; Kim, J; Park, C; Lee, JR
- Issue Date
- Oct-2019
- Publisher
- Eudoxus Press, LLC
- Keywords
- derivation on Banach algebra; additive s-functional inequality; direct method; HyersUlam stability
- Citation
- Journal of Computational Analysis and Applications, v.27, no.5, pp.917 - 924
- Indexed
- SCOPUS
- Journal Title
- Journal of Computational Analysis and Applications
- Volume
- 27
- Number
- 5
- Start Page
- 917
- End Page
- 924
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/147002
- ISSN
- 1521-1398
- Abstract
- 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).
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