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 Volume 9, Number 2, 2019, Pages 765-776 Approximate Lie $\ast$-Derivations on $\rho$-complete Convex Modular algebras Hark-Mahn Kim,Hwan-Yong Shin Keywords:Modular $*$-algebra, convex modular, $\Delta_\mu$-condition, $(m,n)$-Cauchy-Jensen mapping, Lie $*$-derivation. Abstract: In this paper, we obtain generalized Hyers--Ulam stability results of a $(m,n)$-Cauchy-Jensen functional equation associated with approximate Lie $*$-derivations on $\rho$-complete convex modular $*$-algebras $\chi_\rho$ with $\Delta_\mu$-condition on the convex modular $\rho$. PDF      Download reader