Trudy Matematicheskogo Instituta imeni V.A. Steklova
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

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find




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

Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2016, Volume 293, Pages 224–235
DOI: https://doi.org/10.1134/S0371968516020163 (Mi tm3716) 		 
On the Nikol'skii and Potapov classes of functions

V. P. Motornyi

Oles Honchar Dnipropetrovsk National University, Gagarin Ave. 72, Dnipropetrovsk, 49010 Ukraine
Full-text PDF (177 kB)
References:
PDF
HTML
DOI: https://doi.org/10.1134/S0371968516020163
Abstract: It is proved that the Nikol'skii classes $H_1^r$ and Potapov classes $A_1^r$ contain the class $W_1^r$ for $r>1/2$.
Received: March 26, 2015
English version:
Proceedings of the Steklov Institute of Mathematics, 2016, Volume 293, Pages 216–227
DOI: https://doi.org/10.1134/S0081543816040167
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: V. P. Motornyi, “On the Nikol'skii and Potapov classes of functions”, Function spaces, approximation theory, and related problems of mathematical analysis, Collected papers. In commemoration of the 110th anniversary of Academician Sergei Mikhailovich Nikol'skii, Trudy Mat. Inst. Steklova, 293, MAIK Nauka/Interperiodica, Moscow, 2016, 224–235; Proc. Steklov Inst. Math., 293 (2016), 216–227
Citation in format AMSBIB
\Bibitem{Mot16}
\by V.~P.~Motornyi
\paper On the Nikol'skii and Potapov classes of functions
\inbook Function spaces, approximation theory, and related problems of mathematical analysis
\bookinfo Collected papers. In commemoration of the 110th anniversary of Academician Sergei Mikhailovich Nikol'skii
\serial Trudy Mat. Inst. Steklova
\yr 2016
\vol 293
\pages 224--235
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3716}
\crossref{https://doi.org/10.1134/S0371968516020163}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3628482}
\elib{https://elibrary.ru/item.asp?id=26344481}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2016
\vol 293
\pages 216--227
\crossref{https://doi.org/10.1134/S0081543816040167}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000380722200016}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84979995697}
Linking options:
  • https://www.mathnet.ru/eng/tm3716
  • https://doi.org/10.1134/S0371968516020163
  • https://www.mathnet.ru/eng/tm/v293/p224
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024