On nonlinear condensation principles with rates
type: Item
instance of: scholarly article
title: On nonlinear condensation principles with rates
zbMATH Open document ID: 0568.41019
DOI: 10.1007/BF01171483
author: W. Dickmeis
author: R. J. Nessel
author: Erich van Wickeren
published in: Manuscripta Mathematica
publication date: 1985-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/155075
review text: In this paper we extend our previous quantitative condensation principles to some nonlinear situations. More specifically, on the basis of the usual homogeneity, we are interested in some reductions of the additivity which will in particular enable us to treat condensation on arbitrary point sets. The usefulness of the general result is illustrated by some first applications concerned with the sharpness of error bounds for Fejér means on the quasi-normed spaces \(L^ q_{2\pi}\), \(0<q<1\), with Kolmogorov's example of an \(L^ 1_{2\pi}\)-function the trigonometric Fourier series of which diverges everywhere, and with the problem of nonequiconvergence.
Mathematics Subject Classification ID: 41A25
Mathematics Subject Classification ID: 41A65
Mathematics Subject Classification ID: 42A15
Mathematics Subject Classification ID: 42A20
zbMATH DE Number: 3907060
zbMATH Keywords: error bounds
zbMATH Keywords: Fejér means
MaRDI profile type: Publication
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OpenAlex ID: W2007121087
description: scientific article; zbMATH DE number 3907060