Loading [MathJax]/jax/output/CommonHTML/jax.js
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, 2010, Volume 201, Issue 11, Pages 1563–1578
DOI: https://doi.org/10.1070/SM2010v201n11ABEH004122
(Mi sm7634)
 

This article is cited in 3 scientific papers (total in 3 papers)

On the local behaviour of the multidimensional Λ-variation

A. N. Bakhvalov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
References:
Abstract: Let two classes (Λ1,,Λm)BV and (M1,,Mm)BV on an interval Δ be given. In the paper, we find necessary and sufficient conditions for the Λ-variation of any function in the M-class, over a neighbourhood of every regular point, to tend to zero as the neighbourhood decreases.
Bibliography: 10 titles.
Keywords: generalized variation, regular point, variation over a neighbourhood.
Received: 25.09.2009 and 29.03.2010
Bibliographic databases:
Document Type: Article
UDC: 517.518.2
MSC: Primary 26B30; Secondary 26A45
Language: English
Original paper language: Russian
Citation: A. N. Bakhvalov, “On the local behaviour of the multidimensional Λ-variation”, Sb. Math., 201:11 (2010), 1563–1578
Citation in format AMSBIB
\Bibitem{Bak10}
\by A.~N.~Bakhvalov
\paper On the local behaviour of the multidimensional $\Lambda$-variation
\jour Sb. Math.
\yr 2010
\vol 201
\issue 11
\pages 1563--1578
\mathnet{http://mi.mathnet.ru/eng/sm7634}
\crossref{https://doi.org/10.1070/SM2010v201n11ABEH004122}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2768551}
\zmath{https://zbmath.org/?q=an:1215.26008}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2011SbMat.201.1563B}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000287230500001}
\elib{https://elibrary.ru/item.asp?id=19066170}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78751514502}
Linking options:
  • https://www.mathnet.ru/eng/sm7634
  • https://doi.org/10.1070/SM2010v201n11ABEH004122
  • https://www.mathnet.ru/eng/sm/v201/i11/p3
  • This publication is cited in the following 3 articles:
    1. Alexandr N. Bakhvalov, “On certain integral means of functions of generalized bounded variation”, Georgian Mathematical Journal, 28:2 (2021), 185  crossref
    2. Olevskyi V., Olevska Yu., “Geometric Aspects of Multiple Fourier Series Convergence on the System of Correctly Counted Sets”, Proceedings of the Nineteenth International Conference on Geometry, Integrability and Quantization, eds. Mladenov I., Yoshioka A., Inst Biophysics & Biomedical Engineering Bulgarian Acad Sciences, 2018, 159–167  crossref  mathscinet  isi
    3. Bakhvalov A.N., “Cesaro summation of Fourier series of functions from multidimensional Waterman classes”, Dokl. Math., 83:2 (2011), 247–249  crossref  mathscinet  zmath  isi  elib  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:484
    Russian version PDF:223
    English version PDF:16
    References:51
    First page:10
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025