Stability and superstability of J*-homomorphisms and J*-derivations for a generalized Cauchy-Jensen equation

作者：Shin Dong Yun; Park Choonkil; Farhadabadi Shahrokh^*

来源：Journal of Computational Analysis and Applications, 2014, 17(1): 125-134.

• Superstability
• Functional inequality
• J*-algebra
• Hyers-Ulam stability
• J*-homomorphism
• Cauchy-Jensen functional equation
• J*-derivation

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 %26lt;br%26gt;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)

• 出版日期2014-9