On the inequalities of Erdős-Turán and Berry-Esseen. I

DOI10.3792/pjaa.64.381zbMath0669.10072OpenAlexW2049053178MaRDI QIDQ1118645

Petko D. Proinov

Publication date: 1988

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.64.381

zbMATH Keywords

upper boundsErdős-Turán inequalityBerry-Esseen inequalityuniform distribution mod 1supremum normclosenessmodulus of nonmonotonicity

Mathematics Subject Classification ID

General theory of distribution modulo (1) (11K06)

Related Items (1)

On the inequalities of Erdős-Turán and Berry-Esseen. II

Cites Work

• On the Erdős-Turán inequality on uniform distribution. II
• Berry-Esseen bounds and a theorem of Erdős and Turan on uniform distribution mod 1
• On distribution functions (mod 1): quantitative Fourier inversion
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