Approximation to continuous functions by Walsh-Fourier sums

DOI10.1007/BF02053633zbMath0467.42020MaRDI QIDQ1155819

N. V. Gulichev

Publication date: 1980

Published in: Analysis Mathematica (Search for Journal in Brave)

zbMATH Keywords

trigonometric systemPaley enumerationWalsh-Fourier system

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (8)

Approximation by Vilenkin-Fourier sums ⋮ Some new weak (\(H_p\)-\(L_p\))-type inequality for weighted maximal operators of partial sums of Walsh-Fourier series ⋮ Some new \((H_p -L_p)\) type inequalities for weighted maximal operators of partial sums of Walsh-Fourier series ⋮ On the convergence of partial sums with respect to Vilenkin system on the martingale Hardy spaces ⋮ On the partial sums of Vilenkin-Fourier series ⋮ A sharp boundedness result for restricted maximal operators of Vilenkin-Fourier series on martingale Hardy spaces ⋮ On sequences of Fourier-Walsh sums of bounded functions ⋮ On estimates of the norms of Fourier-Walsh sums of bounded functions

Cites Work

• Unnamed Item
• Über die Approximation mit starken de la Vallée-Poussinschen Mitteln
• Fonctions continues et fonctions bornées non adhérentes dans $L^{∞}(T)$ à la suite de leurs sommes partielles de Fourier
• On the Walsh Functions

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