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Journal

Uniform Distribution Theory (UDT)


Volume & Issue

UDT. Volume 16. Issue 1


Published on

June, 2021


Pages

71-92


DOI

https://doi.org/10.2478/udt-2021-0004

Article

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


Authors

Tsvetelina Petrova


Abstract

In the present paper the author uses the function system Γℬsconstructed 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.


Citation

Petrova, T. (2021). The Inequality of Erdős-Turán-Koksma in the Terms of the Functions of the System Γ ℬs. Uniform distribution theory, 16(1), 71-92. https://doi.org/10.2478/udt-2021-0004