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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 $L_0$ 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 $L_0$ 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 $L_0$ 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}
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  • https://www.mathnet.ru/eng/timm/v19/i2/p216
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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