The purpose of the present work is to obtain some results concerning approximate n-Jordan homomorphisms on Banach algebras. The results of this paper correct and improve the main results from Ghaleh and Ghasemi (Bull Iran Math Soc 39:347–353, 2013) and improve some results obtained in Gordji et al. (J Ineq Appl 870843, 2009), Miura et al. (J Ineq Appl 2005(4):435–441, 2005). Applications in connection with classical results are also provided
