Approximation of discrete measures by finite point sets
The author proves that for any discrete measure \(\mu\) on \([0,1],\) which is not supported on one point only, the best possible order of approximation in terms of the star-discrepancy is for infinitely many \(N\) bounded from below by \(1\slash cN\) for some constant \(6\geq c > 2\), which depends on the measure.
scientific article; zbMATH DE number 7726922
scientific article