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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2013, Volume 19, Number 2, Pages 216–223 (Mi timm946)  
This article is cited in 2 scientific papers (total in 2 papers)

Bernstein inequality in L0 for the zeroth-order derivative of trigonometric polynomials

A. O. Leont'eva

Institute of Mathematics and Computer Science, Ural Federal University
Full-text PDF (160 kB) Citations (2)
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Abstract: Close two-sided estimates are obtained for the best constant in the Bernstein inequality for the zeroth-order derivative of trigonometric polynomials in the L0 metric. These estimates give, in particular, the order of the behavior of the constant with respect to the order of the polynomial.
Keywords: trigonometric polynomial, Weyl derivative, Bernstein inequality.
Received: 12.12.2012
Bibliographic databases:
Document Type: Article
UDC: 517.518.86
Language: Russian
Citation: A. O. Leont'eva, “Bernstein inequality in L0 for the zeroth-order derivative of trigonometric polynomials”, Trudy Inst. Mat. i Mekh. UrO RAN, 19, no. 2, 2013, 216–223
Citation in format AMSBIB
\Bibitem{Leo13}
\by A.~O.~Leont'eva
\paper Bernstein inequality in $L_0$ for the zeroth-order derivative of trigonometric polynomials
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2013
\vol 19
\issue 2
\pages 216--223
\mathnet{http://mi.mathnet.ru/timm946}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3364107}
\elib{https://elibrary.ru/item.asp?id=19053983}
Linking options:
  • https://www.mathnet.ru/eng/timm946
  • https://www.mathnet.ru/eng/timm/v19/i2/p216
    • This publication is cited in the following 2 articles:
    1. A. O. Leont'eva, “Bernstein's Inequality for the Weyl Derivatives of Trigonometric Polynomials in the Space $L_0$”, Math. Notes, 104:2 (2018), 263–270  mathnet  crossref  crossref  mathscinet  isi  elib
    2. V. V. Arestov, P. Yu. Glazyrina, “Bernstein–Szegö inequality for fractional derivatives of trigonometric polynomials”, Proc. Steklov Inst. Math. (Suppl.), 288, suppl. 1 (2015), 13–28  mathnet  crossref  mathscinet  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
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    References:85
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