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Matematicheskie Zametki, 2001, Volume 69, Issue 6, Pages 934–943
DOI: https://doi.org/10.4213/mzm708 (Mi mzm708) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Approximation of Smooth Functions on the Semiaxis by Entire Functions of Bounded Half-Degree

A. V. Tovstolis

Donetsk National University
Full-text PDF (195 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm708
Abstract: In this paper, we study the pointwise approximation of functions defined on the real semiaxis and having an rth derivative bounded almost everywhere. The approximation is performed by means of entire functions of bounded half-degree, which were introduced by S. N. Bernstein. An asymptotically sharp estimate for pointwise approximation of this class of functions is obtained.
Received: 06.12.1999
Revised: 09.11.2000
English version:
Mathematical Notes, 2001, Volume 69, Issue 6, Pages 853–862
DOI: https://doi.org/10.1023/A:1010246902459
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: A. V. Tovstolis, “Approximation of Smooth Functions on the Semiaxis by Entire Functions of Bounded Half-Degree”, Mat. Zametki, 69:6 (2001), 934–943; Math. Notes, 69:6 (2001), 853–862
Citation in format AMSBIB
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\issue 6
\pages 934--943
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\transl
\jour Math. Notes
\yr 2001
\vol 69
\issue 6
\pages 853--862
\crossref{https://doi.org/10.1023/A:1010246902459}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000169913100027}
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  • https://doi.org/10.4213/mzm708
  • https://www.mathnet.ru/eng/mzm/v69/i6/p934
    • This publication is cited in the following 1 articles:
    1. Trigub R.M., “On the Approximation of Functions By Polynomials and Entire Functions of Exponential Type”, Ukr. Math. J., 71:2 (2019), 333–341  crossref  mathscinet  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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