On the order of approximation by Riesz means in multiplicative systems in the classes \(E_{X}[\varepsilon ]\)

DOI10.1134/S0001434611030205zbMath1241.42002MaRDI QIDQ650452

T. V. Iofina

Publication date: 25 November 2011

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

zbMATH Keywords

Riesz meansDirichlet kernelFourier seriesVilenkin systemmultiplicative systemFejér kernel\textbf{P}-adic Hardy spaceapproximation by Riesz means

Mathematics Subject Classification ID

Trigonometric approximation (42A10)

Cites Work

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• The derivatives and integrals of fractional order in Walsh-Fourier analysis, with applications to approximation theory
• On generalized Walsh Fourier series
• Martingale Hardy spaces and their applications in Fourier analysis
• Approximation of functions of bounded \(p\)-fluctuation by polynomials with respect to multiplicative systems
• On linear methods of summation of Fourier series with respect to multiplicative systems

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