Difference between the analytically and numerically obtained bounds, averaged over 500 realizations. The upper three sets of points correspond to the difference , whereas the ones with negative values show . Furthermore, the different symbols denote the number of steps used to sample the convex hull of the curve c(λ) for values of 0 ≤ λ ≤ 2π, namely 100 (red crosses), 200 (blue circles), and 300 (green triangles) steps.