Sibirskii Matematicheskii Zhurnal
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


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskii Matematicheskii Zhurnal, 2023, Volume 64, Number 1, Pages 184–203
DOI: https://doi.org/10.33048/smzh.2023.64.116 (Mi smj7755) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Sharp estimates for the mean-square approximations of convolution classes by shift spaces on the axis

A. Yu. Ulitskaya

Chebyshev Laboratory, St. Petersburg State University, Department of Mathematics and Mechanics
Full-text PDF (419 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.33048/smzh.2023.64.116
Abstract: We describe all spaces that are generated by the equidistant shifts of a single function and realizing the sharp constants in various inequalities for the approximations of convolution classes on the real axis. Moreover, we find the average widths of the approximated function classes and provide the examples of extremal approximating subspaces.
Keywords: best approximation, shift space, sharp constant, convolution class.
Funding agency Grant number
Russian Science Foundation 18-11-00055
This work is supported by the Russian Science Foundation under Grant no. 18–11–00055.
Received: 12.08.2022
Revised: 12.08.2022
Accepted: 10.10.2022
English version:
Siberian Mathematical Journal, 2023, Volume 64, Issue 1, Pages 157–173
DOI: https://doi.org/10.1134/S0037446623010160
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: A. Yu. Ulitskaya, “Sharp estimates for the mean-square approximations of convolution classes by shift spaces on the axis”, Sibirsk. Mat. Zh., 64:1 (2023), 184–203; Siberian Math. J., 64:1 (2023), 157–173
Citation in format AMSBIB
\Bibitem{Uli23}
\by A.~Yu.~Ulitskaya
\paper Sharp estimates for the mean-square approximations of~convolution classes by~shift spaces on~the axis
\jour Sibirsk. Mat. Zh.
\yr 2023
\vol 64
\issue 1
\pages 184--203
\mathnet{http://mi.mathnet.ru/smj7755}
\crossref{https://doi.org/10.33048/smzh.2023.64.116}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4567655}
\transl
\jour Siberian Math. J.
\yr 2023
\vol 64
\issue 1
\pages 157--173
\crossref{https://doi.org/10.1134/S0037446623010160}
Linking options:
  • https://www.mathnet.ru/eng/smj7755
  • https://www.mathnet.ru/eng/smj/v64/i1/p184
    • 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
    		Ñèáèðñêèé ìàòåìàòè÷åñêèé æóðíàë Siberian Mathematical Journal
    Statistics & downloads:
    Abstract page:85
    Full-text PDF :17
    References:23
    First page:3
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024