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, 1983, Volume 20, Issue 1, Pages 173–187
DOI: https://doi.org/10.1070/IM1983v020n01ABEH001346 (Mi im1612) 		 
This article is cited in 23 scientific papers (total in 23 papers)

Approximation of functions with a bounded mixed difference by trigonometric polynomials, and the widths of some classes of functions

V. N. Temlyakov
English version PDF (529 kB) Citations (23) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM1983v020n01ABEH001346
Abstract: This paper investigates the approximation of periodic functions of several variables by trigonometric polynomials whose harmonics lie in hyperbolic crosses. It is shown that in many cases the order of the widths, in the sense of Kolmogorov, can be found for classes of functions with a bounded mixed derivative or difference. The possibilities of linear methods of approximation are investigated.
Bibliography: 16 titles.
Received: 27.11.1980
Bibliographic databases:
UDC: 517.9
MSC: 42A10, 42B99, 41A46, 41A63
Language: English
Original paper language: Russian
Citation: V. N. Temlyakov, “Approximation of functions with a bounded mixed difference by trigonometric polynomials, and the widths of some classes of functions”, Math. USSR-Izv., 20:1 (1983), 173–187
Citation in format AMSBIB
\Bibitem{Tem82}
\by V.~N.~Temlyakov
\paper Approximation of functions with a~bounded mixed difference by trigonometric polynomials, and the widths of some classes of functions
\jour Math. USSR-Izv.
\yr 1983
\vol 20
\issue 1
\pages 173--187
\mathnet{http://mi.mathnet.ru//eng/im1612}
\crossref{https://doi.org/10.1070/IM1983v020n01ABEH001346}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=643900}
\zmath{https://zbmath.org/?q=an:0511.42005|0499.42002}
Linking options:
  • https://www.mathnet.ru/eng/im1612
  • https://doi.org/10.1070/IM1983v020n01ABEH001346
  • https://www.mathnet.ru/eng/im/v46/i1/p171
    • This publication is cited in the following 23 articles:
    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