Mathematics of the USSR-Izvestiya
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

Mathematics of the USSR-Izvestiya, 1974, Volume 8, Issue 5, Pages 991–1008
DOI: https://doi.org/10.1070/IM1974v008n05ABEH002136 (Mi im1999) 		 
Best approximations of continuous functions by piecewise monotone functions

A. S. Loginov
English version PDF (622 kB) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM1974v008n05ABEH002136
Abstract: In the present article we establish the characteristic theorem of best approximation of a continuous function by piecewise monotone functions. Starting from this theorem we find a sharp estimate for the best approximation.
Received: 09.04.1973
Bibliographic databases:
UDC: 517.5
MSC: Primary 41A15, 41A30; Secondary 41A50
Language: English
Original paper language: Russian
Citation: A. S. Loginov, “Best approximations of continuous functions by piecewise monotone functions”, Math. USSR-Izv., 8:5 (1974), 991–1008
Citation in format AMSBIB
\Bibitem{Log74}
\by A.~S.~Loginov
\paper Best approximations of continuous functions by piecewise monotone functions
\jour Math. USSR-Izv.
\yr 1974
\vol 8
\issue 5
\pages 991--1008
\mathnet{http://mi.mathnet.ru//eng/im1999}
\crossref{https://doi.org/10.1070/IM1974v008n05ABEH002136}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=358162}
\zmath{https://zbmath.org/?q=an:0305.41015}
Linking options:
  • https://www.mathnet.ru/eng/im1999
  • https://doi.org/10.1070/IM1974v008n05ABEH002136
  • https://www.mathnet.ru/eng/im/v38/i5/p995
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024