On the fixed volume discrepancy of the Korobov point sets

Autor:	A. S. Rubtsova, Vladimir Temlyakov, K. S. Ryutin
Rok vydání:	2021
Předmět:	Algebra and Number Theory Fibonacci number Unit cube Mathematical analysis FOS: Mathematics Point (geometry) Statistical dispersion Mathematics - Numerical Analysis Numerical Analysis (math.NA) Numerical integration Volume (compression) Mathematics
Zdroj:	Sbornik: Mathematics. 212:1180-1192
ISSN:	1468-4802 1064-5616
DOI:	10.1070/sm9420
Popis:	This paper is devoted to the study of a discrepancy-type characteristic -- the fixed volume discrepancy -- of the Korobov point sets in the unit cube. It was observed recently that this new characteristic allows us to obtain optimal rate of dispersion from numerical integration results. This observation motivates us to thoroughly study this new version of discrepancy, which seems to be interesting by itself. This paper extends recent results by V. Temlyakov and M. Ullrich on the fixed volume discrepancy of the Fibonacci point sets. Comment: 16 pages. arXiv admin note: substantial text overlap with arXiv:1908.04658
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::55531cfb8a48b993adf37a37b5a32c2e https://doi.org/10.1070/sm9420 Zobrazit plný text záznamu