Some estimates of the \(H_{\infty}\)-uniform distribution
type: Item
instance of: scholarly article
title: Some estimates of the \(H_{\infty}\)-uniform distribution
zbMATH Open document ID: 0624.10040
DOI: 10.1007/BF01364342
author: Peter Schatte
published in: Monatshefte für Mathematik
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/178328
review text: The sequences \((y_ n)=(a+b \log n+\epsilon_ n)\) are uniformly distributed in the sense of the summation method \(H_{\infty}\). In the present paper the speed of convergence of this procedure is estimated for these sequences and for some other sequences. For the sequences \((a+b \log n)\) the \(H_{\infty}\)-means converge considerably faster than logarithmic means.
Mathematics Subject Classification ID: 11K06
Mathematics Subject Classification ID: 40G99
zbMATH DE Number: 4012742
zbMATH Keywords: H\({}_{\infty }\)-uniform distribution
zbMATH Keywords: summation method \(H_{\infty }\)
zbMATH Keywords: speed of convergence
zbMATH Keywords: \(H_{\infty }\)-means
MaRDI profile type: Publication
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OpenAlex ID: W2314433008
description: scientific article; zbMATH DE number 4012742