On the rate of convergence of Fourier series for functions of HBMV
type: Item
instance of: scholarly article
title: On the rate of convergence of Fourier series for functions of HBMV
zbMATH Open document ID: 0607.41016
DOI: 10.1016/0021-9045(87)90106-7
published in: Journal of Approximation Theory
publication date: 1987-01-01T00:00:00Z
review text: Bojanic and Waterman gave the rates of convergence of Fourier series for functions of \(\Lambda\) BV. But their estimates for the rate of convergence are not adequate for HBV. Hence, for the extreme HBV, the question of estimate of the rate of convergence remains open. The author solves the question for the larger class HBMV that was introduced by Shi and establishes two estimates for the rate of convergence for \(\Lambda\) BMV and HBMV.
Mathematics Subject Classification ID: 41A25
Mathematics Subject Classification ID: 42A20
zbMATH DE Number: 3981744
zbMATH Keywords: HBMV functions
zbMATH Keywords: estimate of the rate of convergence
author: Xiehua Sun
MaRDI profile type: Publication
full work available at URL: 0021-9045(87)90106-7
OpenAlex ID: W2082590610
cites work: On functions of bounded mean oscillation
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cites work: Estimating functions by partial sums of their Fourier series
cites work: Analytic Inequalities
description: scientific article; zbMATH DE number 3981744