Inhomogeneous diophantine approximation of some Hurwitzian numbers

We continue the work of Takao Komatsu, and consider the inhomogeneous approximation constant L(theta,phi) for Hurwitzian theta and phi is an element of Q(theta) + Q. The current work uses a compactness theorem to relate such inhomogeneous constants to the homogeneous approximation constants. Among the new results are: a characterization of such pairs theta,phi for which L(theta,phi) = 0, consideration of small values of n(2) L(e(2/s),phi) for phi = (r theta + m)/n, and the proof of a conjecture of Komatsu.