If P(z) is a polynomial of degree n, having all its zeros in the disk then it was shown by Govil [Proc. Amer. Math. Soc. 41, no. 2 (1973), 543-546] that In this paper, we obtain generalization as well as improvement of above inequality for the polynomial of the type . Also we generalize a result due to Dewan and Mir [Southeast Asian Bull. Math. 31 (2007), 691-695] in this direction.