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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 $r$th 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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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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