On the convergence of the Luzin integral and its analogues

DOI10.33048/semi.2019.16.004zbMath1412.42020OpenAlexW3016090340MaRDI QIDQ2633588

Kirill Igor'evich Knizhov, I. V. Podvigin

Publication date: 9 May 2019

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33048/semi.2019.16.004

zbMATH Keywords

Luzin integraltrigonometric conjugate functiontrigonometric conjugate series

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Integration with respect to measures and other set functions (28A25) Conjugate functions, conjugate series, singular integrals (42A50)

Cites Work

• On the point behavior of Fourier series and conjugate series
• Deviations of Fejer sums and rates of convergence in the von Neumann ergodic theorem
• A structuralist reconstruction of the theory of elementary particles
• 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
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