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Izvestiya: Mathematics, 2008, Volume 72, Issue 2, Pages 383–412
DOI: https://doi.org/10.1070/IM2008v072n02ABEH002405
(Mi im1134)
 

This article is cited in 4 scientific papers (total in 4 papers)

V. A. Markov's theorems in normed spaces

V. I. Skalyga

Design Office `Ametist'
References:
Abstract: We obtain multidimensional analogues of V. A. Markov's inequalities for algebraic polynomials on centrally symmetric convex bodies and an analogue of the Schaeffer–Duffin inequality for polynomials on multidimensional cubes. We establish necessary and sufficient conditions for these inequalities to become equalities, and describe the sets of extremals.
Received: 14.03.2006
Bibliographic databases:
UDC: 517.16
Language: English
Original paper language: Russian
Citation: V. I. Skalyga, “V. A. Markov's theorems in normed spaces”, Izv. Math., 72:2 (2008), 383–412
Citation in format AMSBIB
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\by V.~I.~Skalyga
\paper V.~A.~Markov's theorems in normed spaces
\jour Izv. Math.
\yr 2008
\vol 72
\issue 2
\pages 383--412
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\crossref{https://doi.org/10.1070/IM2008v072n02ABEH002405}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-44249084699}
Linking options:
  • https://www.mathnet.ru/eng/im1134
  • https://doi.org/10.1070/IM2008v072n02ABEH002405
  • https://www.mathnet.ru/eng/im/v72/i2/p193
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:469
    Russian version PDF:203
    English version PDF:17
    References:61
    First page:9
     
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