1. bookVolume 16 (2021): Edition 1 (June 2021)
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The Inequality of Erdős-Turán-Koksma in the Terms of the Functions of the System Γ s

Publié en ligne: 30 Oct 2021
Volume & Edition: Volume 16 (2021) - Edition 1 (June 2021)
Pages: 71 - 92
Reçu: 02 Feb 2021
Accepté: 10 May 2021
Détails du magazine
License
Format
Magazine
eISSN
2309-5377
Première parution
30 Dec 2013
Périodicité
2 fois par an
Langues
Anglais
Abstract

In the present paper the author uses the function system Γsconstructed in Cantor bases to show upper bounds of the extreme and star discrepancy of an arbitrary net in the terms of the trigonometric sum of this net with respect to the functions of this system. The obtained estimations are inequalities of the type of Erdős-Turán-Koksma. These inequalities are very suitable for studying of nets constructed in the same Cantor system.

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MSC 2010

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