On matrix summation methods in \(L_ p\)
type: Item
instance of: scholarly article
title: On matrix summation methods in \(L_ p\)
zbMATH Open document ID: 0830.42002
DOI: 10.1007/BF01208396
author: L. P. Falaleev
published in: Mathematical Notes
publication date: 1995-09-12T00:00:00Z
review text: Let \(\{\lambda^{(n)}_\nu\}\) \((\nu= 0,\dots, n;\;n= 0,1,\dots)\) be convex downwards with respect to the index \(\nu\) and such that \(\lambda^{(n)}_\nu\to 1\) \((n\to \infty)\). A general deviation bound of the operator \[ U_n(f, \Lambda, x)= {a_0\over 2}+ \sum^n_{\nu= 1} \lambda^{(n)}_\nu(a_\nu\cos \nu x+ b_\nu\sin \nu x) \] from the generating function \(f(x)\in L_p\) \((1\leq p\leq \infty)\) is obtained.
Mathematics Subject Classification ID: 42A24
Mathematics Subject Classification ID: 40C05
zbMATH DE Number: 795605
zbMATH Keywords: matrix summability
zbMATH Keywords: Fourier series
reviewed by: Toivo Leiger
MaRDI profile type: Publication
cites work: Q5618663
cites work: Q3319198
cites work: Q3972601
full work available at URL: https://doi.org/10.1007/bf01208396
OpenAlex ID: W1975924696
description: scientific article; zbMATH DE number 795605