Abstract:
We show that Haar-based series representation of the critical Riemann–Liouville process $R^\alpha$ with $\alpha=3/2$ is rearrangement non-optimal in the sense of convergence rate in $\mathbf C[0,1]$. Bibl. – 10 titles.
Key words and phrases:approximation of operators and random processes, Riemann–Liouville processes, series expansion, Haar base.