Generalized absolute convergence of series of Fourier coefficients with respect to Haar type systems

DOI10.3103/S1066369X18010024zbMath1396.42007OpenAlexW2791047252WikidataQ130140117 ScholiaQ130140117MaRDI QIDQ1746434

Boris I. Golubov, Sergey S. Volosivets

Publication date: 25 April 2018

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x18010024

zbMATH Keywords

best approximationFourier coefficientsWiener spacefunctions of bounded \(p\)-variationmodule of continuityHaar type systemGogoladze-Meskhi class

Mathematics Subject Classification ID

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

Related Items (2)

General Fourier coefficients for Lip \(\alpha\) class functions ⋮ Fourier-type series with integer coefficients in systems of contractions and shifts of a single function in spaces \(L_p\), \(p \geq 1\)

Cites Work

• On the approximations of functions of bounded \(p\)-variation by polinomials with repsect to Haar-Vilenkin systems
• BEST APPROXIMATIONS OF FUNCTIONS IN THEL_pMETRIC BY HAAR AND WALSH POLYNOMIALS
• Convergence of series of Fourier coefficients of \(p\)-absolutely continuous functions
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