Rogosinsky-Bernstein polynomial method of summation of trigonometric Fourier series

DOI10.1134/S0001434622030294zbMath1487.42007OpenAlexW4224879134MaRDI QIDQ2133845

Roald M. Trigub

Publication date: 5 May 2022

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434622030294

zbMATH Keywords

Fourier transformscomparison principlemodulus of smoothnessRiesz meansconjugate functionentire functions of exponential typeHardy's inequalityJackson's theoremLebesgue points (\(l\)-points) and \(d\)-pointslinearized modulus of smoothnessMarcinkiewicz's inequalityVallée-Poussin polynomial

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Summability and absolute summability of Fourier and trigonometric series (42A24)

Related Items (1)

On the Pringsheim convergence of a subsequence of partial sums of a Fourier trigonometric series

Cites Work

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• Almost everywhere summability of Fourier series with indication of the set of convergence
• On various moduli of smoothness and \(K\)-functionals
• Asymptotics of approximation of continuous periodic functions by linear means of their Fourier series
• Integral norm discretization and related problems
• ON LINEAR METHODS FOR THE SUMMABILITY OF FOURIER SERIES THAT ARE SIMILAR TO THE BERNŠTEĬN-ROGOSINSKI METHOD

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