Loading [MathJax]/jax/output/SVG/config.js
Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Vestnik Moskov. Univ. Ser. 1. Mat. Mekh.:
Year:
Volume:
Issue:
Page:
Find




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

Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2023, Number 4, Pages 15–22
DOI: https://doi.org/10.55959/MSU0579-9368-1-64-4-3 (Mi vmumm4549) 		 
Mathematics

Orthorecursive expansion with respect to modified Faber–Schauder system

P. S. Stepanyantsa, A. K. Paunovb

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b WorldQuant
Full-text PDF (362 kB)
References:
PDF
HTML
DOI: https://doi.org/10.55959/MSU0579-9368-1-64-4-3
Abstract: We consider orthorecursive expansions with respect to modified Faber–Schauder System and demonstrate their uniform convergence to expanded functions in C-space and convergence in Lebesgue spaces.
Key words: orthorecursive expansion, convergence, Faber–Schauder System, system of translates and dilates.
Received: 03.02.2023
English version:
Moscow University Mathematics Bulletin, 2023, Volume 78, Issue 4, Pages 170–178
DOI: https://doi.org/10.3103/S0027132223040095
Bibliographic databases:
Document Type: Article
UDC: 517.518+517.982
Language: Russian
Citation: P. S. Stepanyants, A. K. Paunov, “Orthorecursive expansion with respect to modified Faber–Schauder system”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023, no. 4, 15–22; Moscow University Mathematics Bulletin, 78:4 (2023), 170–178
Citation in format AMSBIB
\Bibitem{StePau23}
\by P.~S.~Stepanyants, A.~K.~Paunov
\paper Orthorecursive expansion with respect to modified Faber--Schauder system
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2023
\issue 4
\pages 15--22
\mathnet{http://mi.mathnet.ru/vmumm4549}
\crossref{https://doi.org/10.55959/MSU0579-9368-1-64-4-3}
\elib{https://elibrary.ru/item.asp?id=54354435}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2023
\vol 78
\issue 4
\pages 170--178
\crossref{https://doi.org/10.3103/S0027132223040095}
Linking options:
  • https://www.mathnet.ru/eng/vmumm4549
  • https://www.mathnet.ru/eng/vmumm/y2023/i4/p15
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:109
    Full-text PDF :57
    References:24
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025