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, 2013, Volume 94, Issue 1, Pages 81–93
DOI: https://doi.org/10.4213/mzm10273 (Mi mzm10273) 		 
This article is cited in 6 scientific papers (total in 6 papers)

On Absolute Convergence of Multiple Fourier Series

R. G. Vyasa, K. N. Darjib

a The Maharaja Sayajirao University of Baroda
b Tatva Institute of Technological Studies
Full-text PDF (503 kB) Citations (6)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm10273
Abstract: We obtain sufficient conditions for $\beta$-absolute convergence ($0<\beta\leq 1$) of multiple Fourier series of functions of the classes
$$ L^2([0,2\pi]^{N}),\qquad (\Lambda^{1},\Lambda^{2},\dots,\Lambda^{N})BV^{(p)}([0,2\pi]^{N}),\qquad r-BV([0,2\pi]^{N}). $$
Keywords: absolute convergence, multiple Fourier series, functions of $(\Lambda^{1},\Lambda^{2},\dots,\Lambda^{N})BV^{(p)}$ and $r-BV$.
Received: 14.11.2011
English version:
Mathematical Notes, 2013, Volume 94, Issue 1, Pages 71–81
DOI: https://doi.org/10.1134/S0001434613070079
Bibliographic databases:
Document Type: Article
UDC: 517.518.45
Language: Russian
Citation: R. G. Vyas, K. N. Darji, “On Absolute Convergence of Multiple Fourier Series”, Mat. Zametki, 94:1 (2013), 81–93; Math. Notes, 94:1 (2013), 71–81
Citation in format AMSBIB
\Bibitem{VyaDar13}
\by R.~G.~Vyas, K.~N.~Darji
\paper On Absolute Convergence of Multiple Fourier Series
\jour Mat. Zametki
\yr 2013
\vol 94
\issue 1
\pages 81--93
\mathnet{http://mi.mathnet.ru/mzm10273}
\crossref{https://doi.org/10.4213/mzm10273}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3206069}
\zmath{https://zbmath.org/?q=an:06228530}
\elib{https://elibrary.ru/item.asp?id=20731759}
\transl
\jour Math. Notes
\yr 2013
\vol 94
\issue 1
\pages 71--81
\crossref{https://doi.org/10.1134/S0001434613070079}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000323665000007}
\elib{https://elibrary.ru/item.asp?id=20768914}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84883364031}
Linking options:
  • https://www.mathnet.ru/eng/mzm10273
  • https://doi.org/10.4213/mzm10273
  • https://www.mathnet.ru/eng/mzm/v94/i1/p81
    • This publication is cited in the following 6 articles:
    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:506
    Full-text PDF :188
    References:64
    First page:47
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024