For an analytic function in open unit disk D role=presentation> 𝔻 D \mathbb{D} , we consider the p role=presentation> p p p -valent analogue of the Noshiro-Warschawski univalence condition. We apply the Fejer-Riesz inequality to establish some sufficient conditions for functions to be p role=presentation> p p p -valent or to be a Bazilevic function or to be in some other classes.