Degree of approximation of functions associated with Hardy-Littlewood series in the generalized Hölder metric
type: Item
instance of: scholarly article
title: Degree of approximation of functions associated with Hardy-Littlewood series in the generalized Hölder metric
zbMATH Open document ID: 0939.42003
DOI: 10.1007/BF02841544
author: V. Pereyra
published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences
publication date: 1999-09-12T00:00:00Z
review text: There are considered the Hardy-Littlewood (H-L) series of \(f\in L^p\) \((p\geq 1)\) studied by \textit{R. Mohanty} [J. Orissa Math. Soc. 12-15, 237-240 (1993-1996)] [see also \textit{G. H. Hardy} and \textit{J. E. Littlewood}, Proc. Lond. Math. Soc. (2) 24, 211-246 (1925; JFM 51.0222.03)]. The approximation theorem for the matrix means of the modificated H-L series in \(L^p\)-Hölder metric is proved.
Mathematics Subject Classification ID: 42A24
Mathematics Subject Classification ID: 42A10
zbMATH DE Number: 1334250
zbMATH Keywords: norm approximation
zbMATH Keywords: generalized Hölder metric
zbMATH Keywords: Hardy-Littlewood series
zbMATH Keywords: JFM 51.0222.03
reviewed by: W. Łenski
MaRDI profile type: Publication
cites work: Q3278441
cites work: Degree of approximation of functions by their Fourier series in the generalized Hölder metric
cites work: Q5788558
cites work: Zur Konvergenz der Fourierreihen hölderstetiger Funktionen
cites work: Trigonometric approximation in the mean
full work available at URL: https://doi.org/10.1007/bf02841544
OpenAlex ID: W1988857126
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description: scientific article; zbMATH DE number 1334250