Deviations of Fejer sums and rates of convergence in the von Neumann ergodic theorem

DOI10.1134/S1064562418030031zbMath1400.37008OpenAlexW2884743484MaRDI QIDQ1673692

Peng Zhang

Publication date: 13 September 2018

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562418030031

zbMATH Keywords

rate of convergenceFejer sumvon Neumann ergodic theorem

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30)

Related Items (3)

On the convergence of the Luzin integral and its analogues ⋮ Fejér sums and Fourier coefficients of periodic measures ⋮ Uniform convergence in von Neumann’s ergodic theorem in the absence of a spectral gap

Cites Work

• Estimates of the rate of convergence in the von Neumann and Birkhoff ergodic theorems
• Constants in estimates for the rates of convergence in von Neumann's and Birkhoff's ergodic theorems
• The rate of convergence in ergodic theorems
• On the Dispersion of Time-Dependent Means of a Stationary Stochastic Process
• Subsequences of the partial sums of a trigonometric series which are everywhere convergent to zero
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