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

In the present paper the author uses the function system Γ_{ℬ_s}constructed 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.

Język:: Angielski

Częstotliwość wydawania:: 2 razy w roku
Dziedziny czasopisma:: Matematyka, Algebra i teoria liczb, Matematyka dyskretna, Prawdopodobieństwo i statystyka, Matematyka numeryczna i obliczeniowa

Kanał RSS czasopisma

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

Tsvetelina Petrova

Data publikacji: 30 paź 2021

Zakres stron: 71 - 92

Otrzymano: 02 lut 2021

Przyjęty: 10 maj 2021

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

Słowa kluczowefunction system Γ constructed in Cantor bases, extreme and star discrepancy, inequalities of Erd˝ os-Tur´ an-Koksma

© 2021 Tsvetelina Petrova et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

The Inequality of Erdős-Turán-Koksma in the Terms of the Functions of the System Γ _{ℬ_s}

Słowa kluczowe
function system Γ constructed in Cantor bases, extreme and star discrepancy, inequalities of Erd˝ os-Tur´ an-Koksma