Embedding results pertaining to strong approximation of Fourier series. VI
type: Item
instance of: scholarly article
title: Embedding results pertaining to strong approximation of Fourier series. VI
zbMATH Open document ID: 1174.42005
author: László Leindler
published in: Analysis Mathematica
publication date: 2008-10-21T00:00:00Z
review text: The author verify a new version of a certain embedding theorem pertaining to the relation being between strong approximation and a certain wide class of continuous functions. They also show that a new class of numerical sequences defined in this paper is not comparable to the class defined by \textit{R. J. Le} and \textit{S. P. Zhou} [Acta Math. Hungar. 108, 161--169 ((2005; Zbl 1098.42003)]. Similar results were obtained by \textit{B. Szal} [East Journal on Approximations 14 2, 137-147 (2008)].
Mathematics Subject Classification ID: 42A24
Mathematics Subject Classification ID: 40F05
zbMATH DE Number: 5355165
zbMATH Keywords: strong approximation
zbMATH Keywords: sequences of mean bounded variation
zbMATH Keywords: embedding relations
reviewed by: W. Łenski
MaRDI profile type: Publication
full work available at URL: s10476-008-0104-y
OpenAlex ID: W2059923873
cites work: Über die Sättigungsklasse der starken Approximation durch Teilsummen der Fourierschen Reihe
cites work: A new condition for the uniform convergence of certain trigonometric series
cites work: Embedding results pertaining to strong approximation of Fourier series. I
cites work: On the uniform convergence and boundedness of a certain class of sine series
cites work: Embedding results pertaining to strong approximation of Fourier series. IV
cites work: Q5696173
cites work: Q5433684
DOI: 10.1007/S10476-008-0104-Y
description: scientific article; zbMATH DE number 5355165