Some estimates of the \(H_{\infty}\)-uniform distribution
The sequences \((y_ n)=(a+b \log n+\epsilon_ n)\) are uniformly distributed in the sense of the summation method \(H_{\infty}\). In the present paper the speed of convergence of this procedure is estimated for these sequences and for some other sequences. For the sequences \((a+b \log n)\) the \(H_{\infty}\)-means converge considerably faster than logarithmic means.
scientific article; zbMATH DE number 4012742
scientific article