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Matematicheskie Zametki, 2013, Volume 93, Issue 6, Pages 878–901
DOI: https://doi.org/10.4213/mzm9288 (Mi mzm9288) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Approximation of Periodic Functions Using $\mathrm{mup}_s(x)$

V. A. Makarichev

National Aerospace University "Kharkiv Aviation Institute"
Full-text PDF (538 kB) Citations (8)
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DOI: https://doi.org/10.4213/mzm9288
Abstract: The spaces of linear combinations of the shifts of a compactly supported solution of a functional-differential equation are considered. It is proved that they are asymptotically extremal for approximating, in the norm of $L_2$, functions from the classes $\widetilde{W}_2^r$.
Keywords: approximation of periodic functions, the classes $\widetilde{W}_2^r$, functional-differential equation, the function $mup_s(x)$, basis function, Taylor series, linear operator.
Received: 18.11.2011
Revised: 07.05.2012
English version:
Mathematical Notes, 2013, Volume 93, Issue 6, Pages 858–880
DOI: https://doi.org/10.1134/S0001434613050258
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: V. A. Makarichev, “Approximation of Periodic Functions Using $\mathrm{mup}_s(x)$”, Mat. Zametki, 93:6 (2013), 878–901; Math. Notes, 93:6 (2013), 858–880
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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