By using the integral averaging technique, Kamenev-type oscillation criteria for the even order delay differential equation (r(t)vertical bar x((n-1))(t)vertical bar(alpha-1)x((n-1))(t))' + F(t, x[g(t)]) = 0, n even, are established, where r is an element of C-1 ([t(0), infinity), R+), g is an element of C([t(0), infinity), R), F is an element of C([t(0), infinity) x R, R), and alpha > 0 is a constant.