Article
The Inequality of Erdos-Turan-Koksma in the Terms of the Functions of the System Γ B S
Authors
Abstract
In the present paper the author uses the function system ΓB s constructed in Cantor bases to show upper bounds of the extreme and star dis- crepancy 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 Erdos-Turan-Koksma. These inequalities are very suitable for study- ing of nets constructed in the same Cantor system.
Keywords
function system ΓB constructed in Cantor bases, extreme and star discrepancy.
Citation
Petrova, T. (2021). The inequality of erdos-turan-koksma in the terms of the functions of the system γ b s. Uniform Distribution Theory, 16(1), 71–92. https://doi.org/10.2478/UDT-2021-0004
T. Petrova, “The inequality of erdos-turan-koksma in the terms of the functions of the system γ b s,” Uniform Distribution Theory, vol. 16, no. 1, pp. 71–92, 2021, doi: 10.2478/UDT-2021-0004.
Petrova T. The inequality of erdos-turan-koksma in the terms of the functions of the system γ b s. Uniform Distribution Theory. 2021;16(1):71–92. doi:10.2478/UDT-2021-0004.
Petrova, T. (2021), ‘The inequality of erdos-turan-koksma in the terms of the functions of the system γ b s’, Uniform Distribution Theory, 16(1), pp. 71–92. Available at: https://doi.org/10.2478/UDT-2021-0004.
Petrova, Tsvetelina. “The Inequality of Erdos-turan-koksma in the Terms of the Functions of the System Γ B S.” Uniform Distribution Theory, vol. 16, no. 1, 2021, pp. 71–92. https://doi.org/10.2478/UDT-2021-0004.
Petrova, Tsvetelina. “The Inequality of Erdos-turan-koksma in the Terms of the Functions of the System Γ B S.” Uniform Distribution Theory 16, no. 1 (2021): 71–92. https://doi.org/10.2478/UDT-2021-0004.
Export citation
Published by: Engineering Journals
