Approximate Generalized Cubic * -Derivations

الملخص EN

We will show the general solution of the functional equation f ( a x + b y ) + f ( a x - b y ) = a b 2 [ f ( x + y ) + f ( x - y ) ] + 2 a ( a 2 - b 2 ) f ( x ) and investigate the stability of cubic * -derivations associated with the given functional equation on Banach * -algebras.