A sharp estimate for the rate of convergence in mean of Birkhoff sums for some classes of periodic differentiable functions

DOI10.1007/S10688-006-0004-5zbMath1111.37002OpenAlexW2313862023MaRDI QIDQ2498306

A. V. Rozhdestvenskij

Publication date: 16 August 2006

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-006-0004-5

zbMATH Keywords

generalized Bessel potentialBirkhoff sumbadly approximable number

Mathematics Subject Classification ID

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

Cites Work

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• Diophantine approximation
• Estimates of norms of operators that are continuous in measure
• Sums of continuous and differentiable functions in dynamical systems
• On multipliers preserving convergence of trigonometric series almost everywhere

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