The inequality of Erdős-Turán-Koksma in the terms of the functions of the system \(\Gamma_{\mathcal{B}_s}\)

DOI10.2478/UDT-2021-0004zbMath1484.11161OpenAlexW3209788624MaRDI QIDQ2129360

Tsvetelina Petrova

Publication date: 22 April 2022

Published in: Uniform Distribution Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/udt-2021-0004

zbMATH Keywords

extreme and star discrepancyfunction system \(\Gamma_{\mathcal{B}_s}\) constructed in Cantor basesinequalities of Erdős-Turán-Koksma

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Well-distributed sequences and other variations (11K36) General theory of distribution modulo (1) (11K06) Special sequences (11K31)

Cites Work

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• Sequences, discrepancies and applications
• Digital nets and sequences constructed over finite rings and their application to quasi-Monte Carlo integration
• A class of generalized Walsh functions
• A general discrepancy estimate based on p-adic arithmetics
• General discrepancy estimates: the Walsh function system

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