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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2010, Volume 16, Number 4, Pages 5–17 (Mi timm636)  
This article is cited in 8 scientific papers (total in 8 papers)

Direct and inverse theorems in approximation theory for periodic functions in S. B. Stechkins papers and the development of these theorems

V. I. Ivanov

Tula State University
Full-text PDF (199 kB) Citations (8)
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Abstract: S. B. Stechkin made a considerable contribution to an important aspect of approximation theory for periodic functions concerned with direct and inverse theorems. We present the history of development of this research area and pose new problems.
Keywords: best approximation, module of continuity, Jackson–Stechkin inequality, inverse inequality.
Received: 01.10.2010
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2011, Volume 273, Issue 1, Pages S1–S13
DOI: https://doi.org/10.1134/S0081543811050014
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: V. I. Ivanov, “Direct and inverse theorems in approximation theory for periodic functions in S. B. Stechkins papers and the development of these theorems”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 4, 2010, 5–17; Proc. Steklov Inst. Math. (Suppl.), 273, suppl. 1 (2011), S1–S13
Citation in format AMSBIB
\Bibitem{Iva10}
\by V.~I.~Ivanov
\paper Direct and inverse theorems in approximation theory for periodic functions in S.\,B.~Stechkins papers and the development of these theorems
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2010
\vol 16
\issue 4
\pages 5--17
\mathnet{http://mi.mathnet.ru/timm636}
\elib{https://elibrary.ru/item.asp?id=15318483}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2011
\vol 273
\issue , suppl. 1
\pages S1--S13
\crossref{https://doi.org/10.1134/S0081543811050014}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79959197465}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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