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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 3, Pages 89–95 (Mi ivm9221)  

This article is cited in 7 scientific papers (total in 7 papers)

Brief communications

Order estimates of the norms of derivatives of functions with zero values on linear functionals and their applications

N. Temirgaliev, A. Zhubanysheva

L.N. Gumilyov Eurasian National University, 2 Satpayev str., Astana, 010008 Republic of Kazakhstan
Full-text PDF (211 kB) Citations (7)
References:
Abstract: For the given finite set of linear functionals we construct functions vanishing on them and give order estimates of their derivatives. We also give their different applications.
Keywords: approximate differentiation, informative power of given functional class, computational (numerical) diameter, recovery of functions by inexact information, limiting error.
Received: 26.09.2016
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, Volume 61, Issue 3, Pages 77–82
DOI: https://doi.org/10.3103/S1066369X17030100
Bibliographic databases:
Document Type: Article
UDC: 517.1
Language: Russian
Citation: N. Temirgaliev, A. Zhubanysheva, “Order estimates of the norms of derivatives of functions with zero values on linear functionals and their applications”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 3, 89–95; Russian Math. (Iz. VUZ), 61:3 (2017), 77–82
Citation in format AMSBIB
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\yr 2017
\issue 3
\pages 89--95
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\jour Russian Math. (Iz. VUZ)
\yr 2017
\vol 61
\issue 3
\pages 77--82
\crossref{https://doi.org/10.3103/S1066369X17030100}
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Linking options:
  • https://www.mathnet.ru/eng/ivm9221
  • https://www.mathnet.ru/eng/ivm/y2017/i3/p89
  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Abstract page:291
    Full-text PDF :111
    References:29
    First page:13
     
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