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Sbornik: Mathematics, 1997, Volume 188, Issue 12, Pages 1799–1832
DOI: https://doi.org/10.1070/sm1997v188n12ABEH000274
(Mi sm274)
 

This article is cited in 30 scientific papers (total in 31 papers)

Kolmogorov-type inequalities for derivatives

G. G. Magaril-Il'yaeva, V. M. Tikhomirovb

a Moscow State Institute of Radio-Engineering, Electronics and Automation (Technical University)
b M. V. Lomonosov Moscow State University
References:
Abstract: The general problem of inequalities for derivatives consists in finding an estimate of some derivative of a function in terms of the norms of other derivatives. The aim of this paper is to overview problems of this kind from the general position of extremum theory.
Received: 05.06.1997
Russian version:
Matematicheskii Sbornik, 1997, Volume 188, Number 12, Pages 73–106
DOI: https://doi.org/10.4213/sm274
Bibliographic databases:
UDC: 517.97
MSC: 26D10, 49J30
Language: English
Original paper language: Russian
Citation: G. G. Magaril-Il'yaev, V. M. Tikhomirov, “Kolmogorov-type inequalities for derivatives”, Mat. Sb., 188:12 (1997), 73–106; Sb. Math., 188:12 (1997), 1799–1832
Citation in format AMSBIB
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\paper Kolmogorov-type inequalities for derivatives
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\pages 73--106
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Linking options:
  • https://www.mathnet.ru/eng/sm274
  • https://doi.org/10.1070/sm1997v188n12ABEH000274
  • https://www.mathnet.ru/eng/sm/v188/i12/p73
  • This publication is cited in the following 31 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:1139
    Russian version PDF:499
    English version PDF:52
    References:88
    First page:5
     
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