On the best approximation of functions with respect to multiplicative systems and the properties of their Fourier coefficients

DOI10.1007/S10476-007-0401-XzbMath1164.42300OpenAlexW2153025611MaRDI QIDQ950302

N. Yu. Agafonova

Publication date: 22 October 2008

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

Full work available at URL: https://doi.org/10.1007/s10476-007-0401-x

zbMATH Keywords

best approximation of functions

Mathematics Subject Classification ID

Trigonometric approximation (42A10)

Related Items (5)

Fourier-Price coefficients of class GM and best approximations of functions in the Lorentz space \(L_{p\theta}[0, 1)\), \(1<p<+\infty\), \(1<\theta<+\infty\) ⋮ Multiplicative convolutions of functions from Lorentz spaces and convergence of series of Fourier-Vilenkin coefficients ⋮ Estimates of best approximations in integral metrics and Fourier coefficients with respect to multiplicative systems ⋮ Series in multiplicative systems in Lorentz spaces ⋮ Best approximation of functions by polynomials with respect to multiplicative systems and generalized monotonicity

Cites Work

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• On the uniform convergence and boundedness of a certain class of sine series
• On generalized Walsh Fourier series
• Best approximation and Fourier coefficients
• The Brauer-Manin Obstruction and III[2]
• Quasi-Monotone Series

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