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Fe{j}\'er and Levin-Ste\v{c}kin inequalities treat integrals of the productof convex functions with symmetric functions. The main goal of this article isto present possible matrix versions of these inequalities. In particular,majorization results are shown of Fej\'{e}r type for both convex and log-convexfunctions. For matrix Levin-Ste\v{c}kin type, we present more rigorous resultsinvolving the partial Loewner ordering for Hermitian matrices.

Matrix Fej\'{e}r and Levin-Ste\v{c}kin Inequalities