Sbornik: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Sbornik: Mathematics, 2021, Volume 212, Issue 8, Pages 1180–1192
DOI: https://doi.org/10.1070/SM9420 (Mi sm9420) 		 
On the fixed volume discrepancy of the Korobov point sets

A. S. Rubtsovaab, K. S. Ryutinab, V. N. Temlyakovcdab

a Laboratory "High-Dimensional Approximation and Applications", Lomonosov Moscow State University, Moscow, Russia
b Moscow Center for Fundamental and Applied Mathematics, Moscow, Russia
c University of South Carolina, Columbia, SC, USA
d Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
English version PDF (485 kB) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM9420
Abstract: This paper is devoted to the study of a discrepancy-type characteristic – the fixed volume discrepancy – of Korobov point sets in the unit cube. It has been observed recently that this new characteristic allows us to obtain an optimal rate of dispersion decay. This observation has motivated us to study this new version of discrepancy thoroughly; it also seems to have independent interest. This paper extends recent results due to Temlyakov and Ullrich on the fixed volume discrepancy of Fibonacci point sets.
Bibliography: 23 titles.
Keywords: Korobov cubature formulae, discrepancy, dispersion.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 14.W03.31.0031
This work was carried out with the support of a grant for state support of scientific research conducted under the auspices of leading scientists of the Government of the Russian Federation (project no. 14.W03.31.0031).
Received: 31.03.2020 and 22.03.2021
Bibliographic databases:
Document Type: Article
UDC: 517.518
MSC: Primary 30C65, 30L10, 58C06; Secondary 31C12, 31C15, 31B15, 30D45
Language: English
Original paper language: Russian
Citation: A. S. Rubtsova, K. S. Ryutin, V. N. Temlyakov, “On the fixed volume discrepancy of the Korobov point sets”, Sb. Math., 212:8 (2021), 1180–1192
Citation in format AMSBIB
\Bibitem{RubRyuTem21}
\by A.~S.~Rubtsova, K.~S.~Ryutin, V.~N.~Temlyakov
\paper On the fixed volume discrepancy of the Korobov point sets
\jour Sb. Math.
\yr 2021
\vol 212
\issue 8
\pages 1180--1192
\mathnet{http://mi.mathnet.ru//eng/sm9420}
\crossref{https://doi.org/10.1070/SM9420}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4295028}
\zmath{https://zbmath.org/?q=an:1481.30014}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2021SbMat.212.1180R}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000707457500001}
\elib{https://elibrary.ru/item.asp?id=47522865}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85118886981}
Linking options:
  • https://www.mathnet.ru/eng/sm9420
  • https://doi.org/10.1070/SM9420
  • https://www.mathnet.ru/eng/sm/v212/i8/p151
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024