Izvestiya: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya: Mathematics, 1995, Volume 59, Issue 4, Pages 741–764
DOI: https://doi.org/10.1070/IM1995v059n04ABEH000032 (Mi im32) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Diameters of classes of smooth functions

S. N. Kudryavtsev

Institute for High-Performance Computer Systems, Russian Academy of Sciences
English version PDF (818 kB) Citations (8) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM1995v059n04ABEH000032
Abstract: We describe the weak asymptotic behaviour of diameters of $n$-th order of the unit ball of $W_p^l H^\omega (I^d)$ in $L_q(I^d)$, where $I=(0,1)$, in dependence on $n$. Namely we consider the Kolmogorov diameter, the Gel'fand diameter, the linear diameter, the Aleksandrov diameter and the entropy diameter.
Received: 29.03.1993
Bibliographic databases:
MSC: 41A46
Language: English
Original paper language: Russian
Citation: S. N. Kudryavtsev, “Diameters of classes of smooth functions”, Izv. Math., 59:4 (1995), 741–764
Citation in format AMSBIB
\Bibitem{Kud95}
\by S.~N.~Kudryavtsev
\paper Diameters of classes of smooth functions
\jour Izv. Math.
\yr 1995
\vol 59
\issue 4
\pages 741--764
\mathnet{http://mi.mathnet.ru//eng/im32}
\crossref{https://doi.org/10.1070/IM1995v059n04ABEH000032}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1356351}
\zmath{https://zbmath.org/?q=an:0865.41030}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000169556400005}
Linking options:
  • https://www.mathnet.ru/eng/im32
  • https://doi.org/10.1070/IM1995v059n04ABEH000032
  • https://www.mathnet.ru/eng/im/v59/i4/p81
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024