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Stability and superstability of J*-homomorphisms and J*-derivations for a generalized Cauchy-Jensen equation
- Issue Date
- Sep-2014
- Publisher
- Kluwer Academic Publishers
- Keywords
- Superstability; Functional inequality; J*-algebra; Hyers-Ulam stability; J*-homomorphism; Cauchy-Jensen functional equation; J*-derivation
- Citation
- Journal of Computational Analysis and Applications, v.17, no.1, pp 125 - 134
- Pages
- 10
- Indexed
- SCIE
SCOPUS
- Journal Title
- Journal of Computational Analysis and Applications
- Volume
- 17
- Number
- 1
- Start Page
- 125
- End Page
- 134
- ISSN
- 1521-1398
1572-9206
- Abstract
- 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)
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