In this paper, we establish some companions of Fejér’s inequality for convex functions which generalize the inequalities of Hermite-Hadamard type from 'Two mappings in connection to Hadamard’s inequalities' (Dragomir, 1992) and 'On some refinements of Hadamard’s inequalities and applications' (Dragomir, Milosevic and J. Sándor,1993)