摘要：In this paper we establish the general solutions of the following mixed type quadratic-additive functional equation: 9 f ( x + y + z 3 ) + 4 [ f ( x − y 2 ) + f ( y − z 2 ) + f ( z − x 2 ) ] = 3 [ f ( x ) + f ( y ) + f ( z ) ] in the class of functions between real vector spaces. Moreover, we prove the generalized Hyers-Ulam-Rassias stability of this equation in Banach spaces. MSC:39B82, 39B52.
