Lamia K. Ismail - Department of Mathematics, College of Computer Science and Mathematics, University of Mosul, Mosul, Iraq
Amir A. Mohammed - Department of Mathematics, College of Education for Pure Science, University of Mosul, Mosul, Iraq

We introduce a \ast-module extension Banach algebras to generalized the results of Niazi and Miri. Precisely, every local (g,h)-ternary derivation from a \ast-module extension Banach algebra into one of its periodical duals is (g,h)-ternary derivation.

∗ -module extension Banach algebras, h)-derivations, (G, h)-generalized derivations, ternary (triple) derivations