Approximation by Vilenkin-Fourier sums

DOI10.1007/BF01949122zbMath0636.42026MaRDI QIDQ1098043

Sandor Fridli

Publication date: 1986

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

modulus of continuityVilenkin-systemLebesgue-constantsVilenkin-Fourier sums

Mathematics Subject Classification ID

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

Related Items (7)

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 ⋮ Multipliers of convergence in norm of series with respect to multiplicative systems ⋮ On the partial sums of Vilenkin-Fourier series ⋮ Some inequalities related to strong convergence of Riesz logarithmic means ⋮ A sharp boundedness result for restricted maximal operators of Vilenkin-Fourier series on martingale Hardy spaces

Cites Work

• Approximation to continuous functions by Walsh-Fourier sums
• Verallgemeinerte Walsh—Fourierreihen. II
• Extensions of Hardy spaces and their use in analysis
• On the Walsh Functions
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