1. bookVolume 16 (2021): Issue 1 (June 2021)
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Format
Journal
eISSN
2309-5377
First Published
30 Dec 2013
Publication timeframe
2 times per year
Languages
English
access type Open Access

The Inequality of Erdős-Turán-Koksma in the Terms of the Functions of the System Γ s

Published Online: 30 Oct 2021
Volume & Issue: Volume 16 (2021) - Issue 1 (June 2021)
Page range: 71 - 92
Received: 02 Feb 2021
Accepted: 10 May 2021
Journal Details
License
Format
Journal
eISSN
2309-5377
First Published
30 Dec 2013
Publication timeframe
2 times per year
Languages
English
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.

Keywords

MSC 2010

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