Concerning the stability problem of functional equations, we introduce a general (m, n)- Cauchy-Jensen functional equation and establish new theorems about the Hyers-Ulam stability of general (m, n)-Cauchy Jensen ...Concerning the stability problem of functional equations, we introduce a general (m, n)- Cauchy-Jensen functional equation and establish new theorems about the Hyers-Ulam stability of general (m, n)-Cauchy Jensen additive mappings in C^*-algebras, which generalize the result's obtained for Cauchy-Jensen type additive mappings.展开更多
文摘Concerning the stability problem of functional equations, we introduce a general (m, n)- Cauchy-Jensen functional equation and establish new theorems about the Hyers-Ulam stability of general (m, n)-Cauchy Jensen additive mappings in C^*-algebras, which generalize the result's obtained for Cauchy-Jensen type additive mappings.