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초록
In this paper, we prove the superstability and the Hyers-Ulam stability of J*-homomorphisms and J*-derivations associated with the following generalized Cauchy-Jensen functional equation f(Sigma(p)(i=1) x(i)/p-1) + Sigma(p)(i=1)f (Sigma(p)(j=1j not equal i) x(j) - x(i)/p-1) = Sigma(p)(i=1)f(x(i)). (1)
키워드
Superstability; Functional inequality; J*-algebra; Hyers-Ulam stability; J*-homomorphism; Cauchy-Jensen functional equation; J*-derivation; MAPPINGS
- 제목
- Stability and superstability of J*-homomorphisms and J*-derivations for a generalized Cauchy-Jensen equation
- 저자
- Shin, Dong Yun; Park, Choonkil; Farhadabadi, Shahrokh
- 발행일
- 2014-09
- 유형
- Article
- 권
- 17
- 호
- 1
- 페이지
- 125 ~ 134