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, 2010, Volume 87, Issue 3, Pages 443–452
DOI: https://doi.org/10.4213/mzm6593 (Mi mzm6593) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Fourier–Haar Coefficients and Properties of Continuous Functions

V. Tsagareishvili

Tbilisi Ivane Javakhishvili State University
Full-text PDF (433 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm6593
Abstract: It is well known that if the Fourier–Haar coefficients have a certain order or if a certain series composed of the Fourier–Haar coefficients of a function $f(x)\in C(0,1)$ converges, then the function has a certain form. In the present paper, we prove that not only the Fourier–Haar coefficients, but also the difference of these coefficients possess these properties.
Keywords: orthonormal Haar system, Fourier–Haar coefficient, continuous function, Abel transformation, binary irrational point.
Received: 24.10.2008
Revised: 07.07.2009
English version:
Mathematical Notes, 2010, Volume 87, Issue 3, Pages 416–424
DOI: https://doi.org/10.1134/S0001434610030132
Bibliographic databases:
Document Type: Article
UDC: 517.521
Language: Russian
Citation: V. Tsagareishvili, “Fourier–Haar Coefficients and Properties of Continuous Functions”, Mat. Zametki, 87:3 (2010), 443–452; Math. Notes, 87:3 (2010), 416–424
Citation in format AMSBIB
\Bibitem{Tsa10}
\by V.~Tsagareishvili
\paper Fourier--Haar Coefficients and Properties of Continuous Functions
\jour Mat. Zametki
\yr 2010
\vol 87
\issue 3
\pages 443--452
\mathnet{http://mi.mathnet.ru/mzm6593}
\crossref{https://doi.org/10.4213/mzm6593}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2761600}
\zmath{https://zbmath.org/?q=an:05791064}
\transl
\jour Math. Notes
\yr 2010
\vol 87
\issue 3
\pages 416--424
\crossref{https://doi.org/10.1134/S0001434610030132}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000279034600013}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77953965769}
Linking options:
  • https://www.mathnet.ru/eng/mzm6593
  • https://doi.org/10.4213/mzm6593
  • https://www.mathnet.ru/eng/mzm/v87/i3/p443
    • This publication is cited in the following 1 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:511
    Full-text PDF :192
    References:63
    First page:16
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024