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Matematicheskie Zametki, 1975, Volume 18, Issue 5, Pages 641–658 (Mi mzm7677)  
This article is cited in 17 scientific papers (total in 17 papers)

Direct and converse theorems of the theory of approximation in the metric of $L_p$ for $0<p<1$

V. I. Ivanov

V. A. Steklov Mathematical Institute, USSR Academy of Sciences
Full-text PDF (944 kB) Citations (17)
Abstract: A direct theorem of the Jackson type and several converse theorems are established for the approximation of periodic functions of period $2\pi$ by trigonometrical polynomials in the metric of $L_p$, $0<p<1$.
Received: 18.06.1975
English version:
Mathematical Notes, 1975, Volume 18, Issue 5, Pages 972–982
DOI: https://doi.org/10.1007/BF01153563
Bibliographic databases:
UDC: 517.51
Language: Russian
Citation: V. I. Ivanov, “Direct and converse theorems of the theory of approximation in the metric of $L_p$ for $0<p<1$”, Mat. Zametki, 18:5 (1975), 641–658; Math. Notes, 18:5 (1975), 972–982
Citation in format AMSBIB
\Bibitem{Iva75}
\by V.~I.~Ivanov
\paper Direct and converse theorems of the theory of approximation in the metric of $L_p$ for $0<p<1$
\jour Mat. Zametki
\yr 1975
\vol 18
\issue 5
\pages 641--658
\mathnet{http://mi.mathnet.ru/mzm7677}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=412710}
\zmath{https://zbmath.org/?q=an:0337.42001}
\transl
\jour Math. Notes
\yr 1975
\vol 18
\issue 5
\pages 972--982
\crossref{https://doi.org/10.1007/BF01153563}
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    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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