On the inequalities of Erdős-Turán and Berry-Esseen. II
type: Item
instance of: scholarly article
title: On the inequalities of Erdős-Turán and Berry-Esseen. II
zbMATH Open document ID: 0699.10065
author: Petko D. Proinov
published in: Proceedings of the Japan Academy. Series A
publication date: 1989-01-01T00:00:00Z
review text: This is a continuation of the first part [ibid. 64, No.10, 381-384 (1988; Zbl 0669.10072)]. Erdős-Turán type estimates with respect to general distribution functions and improved constants are proved. In this second part of the paper several technical lemmas for the proof of the main results (stated in part I) are established.
reviewed by: Robert F. Tichy
Mathematics Subject Classification ID: 11K06
zbMATH DE Number: 4146037
zbMATH Keywords: uniform distribution
zbMATH Keywords: discrepancy
zbMATH Keywords: closeness
zbMATH Keywords: upper bounds
zbMATH Keywords: supremum norm
zbMATH Keywords: modulus of nonmonotonicity
zbMATH Keywords: Erdős-Turán
zbMATH Keywords: inequality
zbMATH Keywords: Berry- Esseen inequality
zbMATH Keywords: Erdős-Turán type estimates
MaRDI profile type: Publication
full work available at URL: pjaa.65.17
OpenAlex ID: W4240376168
cites work: On the inequalities of Erdős-Turán and Berry-Esseen. I
cites work: On the Erdős-Turán inequality on uniform distribution. I
cites work: SOME QUESTIONS OF THE THEORY OF APPROXIMATIONS OF FUNCTIONS AND SETS IN THE HAUSDORFF METRIC
DOI: 10.3792/PJAA.65.17
description: scientific article; zbMATH DE number 4146037