Matematicheskie Zametki
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. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2009, Volume 86, Issue 4, Pages 601–611
DOI: https://doi.org/10.4213/mzm4435 (Mi mzm4435) 		 
Generalized Riemann-Type Integrals on the Plane and an Example of Double Haar Series

M. G. Plotnikov

Vologda State Academy of Milk Industry
Full-text PDF (539 kB)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm4435
Abstract: We prove that du Bois-Reymond-type theorems do not hold for the double Haar series, for the dyadic cubic Henstock integral, and for regular convergence over rectangles.
Keywords: Riemann-type integral, double Haar series, dyadic cubic Henstock integral, regular convergence, du Bois-Reymond theorem, Fourier series.
Received: 21.01.2008
Revised: 26.09.2008
English version:
Mathematical Notes, 2009, Volume 86, Issue 4, Pages 567–576
DOI: https://doi.org/10.1134/S0001434609090338
Bibliographic databases:
UDC: 517.518.3
Language: Russian
Citation: M. G. Plotnikov, “Generalized Riemann-Type Integrals on the Plane and an Example of Double Haar Series”, Mat. Zametki, 86:4 (2009), 601–611; Math. Notes, 86:4 (2009), 567–576
Citation in format AMSBIB
\Bibitem{Plo09}
\by M.~G.~Plotnikov
\paper Generalized Riemann-Type Integrals on the Plane and an Example of Double Haar Series
\jour Mat. Zametki
\yr 2009
\vol 86
\issue 4
\pages 601--611
\mathnet{http://mi.mathnet.ru/mzm4435}
\crossref{https://doi.org/10.4213/mzm4435}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2591351}
\zmath{https://zbmath.org/?q=an:1179.42022}
\elib{https://elibrary.ru/item.asp?id=15295190}
\transl
\jour Math. Notes
\yr 2009
\vol 86
\issue 4
\pages 567--576
\crossref{https://doi.org/10.1134/S0001434609090338}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000271950700033}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-76249109479}
Linking options:
  • https://www.mathnet.ru/eng/mzm4435
  • https://doi.org/10.4213/mzm4435
  • https://www.mathnet.ru/eng/mzm/v86/i4/p601
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:512
    Full-text PDF :196
    References:87
    First page:9
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024