On the guaranteed rate of decrease of Fourier coefficients of continuous functions
type: Item
instance of: scholarly article
title: On the guaranteed rate of decrease of Fourier coefficients of continuous functions
zbMATH Open document ID: 0834.42015
author: S. B. Kozyrev
published in: Moscow University Mathematics Bulletin
publication date: 1994-04-06T00:00:00Z
review text: The main result is the following: There exists a complete orthonormal system on the interval [0,1] relative to which the Fourier coefficients for functions from \(C\) and \(L^p\), \(p > 2\), have, on the whole, higher order of smallness than the Fourier-Haar coefficients for the same classes of functions.
Mathematics Subject Classification ID: 42C10
zbMATH DE Number: 486783
zbMATH Keywords: complete orthonormal system
zbMATH Keywords: Fourier coefficients
zbMATH Keywords: Fourier-Haar coefficients
reviewed by: Alexei Lukashov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 486783