Fourier coefficients and the approximation of functions by series in a periodic multiplicative system
type: Item
instance of: scholarly article
title: Fourier coefficients and the approximation of functions by series in a periodic multiplicative system
zbMATH Open document ID: 0573.42016
DOI: 10.1007/BF01141936
author: M. S. Bespalov
published in: Mathematical Notes
publication date: 1984-01-01T00:00:00Z
review text: The author considers the periodic multiplicative system of functions, presented by \textit{N. Ya. Vilenkin} in Izv. Akad. Nauk SSSR, Ser. Mat. 11, 363-400 (1947; Zbl 0036.356) and obtains estimates for block of partial sums of Fourier series and for the Fourier coefficients in various metrics.
Mathematics Subject Classification ID: 42C10
Mathematics Subject Classification ID: 42A16
zbMATH DE Number: 3914933
zbMATH Keywords: periodic multiplicative system
zbMATH Keywords: Fourier coefficients
MaRDI profile type: Publication
cites work: On a certain system of orthogonal step functions. I
cites work: Q5338374
description: scientific article; zbMATH DE number 3914933