1. bookVolumen 16 (2021): Edición 1 (June 2021)
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2309-5377
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30 Dec 2013
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The Inequality of Erdős-Turán-Koksma in the Terms of the Functions of the System Γ s

Publicado en línea: 30 Oct 2021
Volumen & Edición: Volumen 16 (2021) - Edición 1 (June 2021)
Páginas: 71 - 92
Recibido: 02 Feb 2021
Aceptado: 10 May 2021
Detalles de la revista
License
Formato
Revista
eISSN
2309-5377
Primera edición
30 Dec 2013
Calendario de la edición
2 veces al año
Idiomas
Inglés
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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