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Diskretnaya Matematika, 2010, Volume 22, Issue 1, Pages 83–103
DOI: https://doi.org/10.4213/dm1086 (Mi dm1086) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On approximation of continuous functions by determinate functions with delay

A. N. Cherepov
Full-text PDF (218 kB) Citations (3)
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DOI: https://doi.org/10.4213/dm1086
Abstract: We consider determinate functions with delay which are extensions of determinate functions and find some properties of these functions. The problem is posed to approximate continuous functions by functions with delay, and the assertion is proved that it is possible to approximate any continuous function with an arbitrary accuracy. Approximations for some functions are given, including the addition and multiplication functions which are minimal from the delay viewpoint.
Received: 11.06.2008
English version:
Discrete Mathematics and Applications, 2010, Volume 20, Issue 1, Pages 1–24
DOI: https://doi.org/10.1515/DMA.2010.001
Bibliographic databases:
Document Type: Article
UDC: 519.95
Language: Russian
Citation: A. N. Cherepov, “On approximation of continuous functions by determinate functions with delay”, Diskr. Mat., 22:1 (2010), 83–103; Discrete Math. Appl., 20:1 (2010), 1–24
Citation in format AMSBIB
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\by A.~N.~Cherepov
\paper On approximation of continuous functions by determinate functions with delay
\jour Diskr. Mat.
\yr 2010
\vol 22
\issue 1
\pages 83--103
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\crossref{https://doi.org/10.4213/dm1086}
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\transl
\jour Discrete Math. Appl.
\yr 2010
\vol 20
\issue 1
\pages 1--24
\crossref{https://doi.org/10.1515/DMA.2010.001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77952667894}
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  • https://doi.org/10.4213/dm1086
  • https://www.mathnet.ru/eng/dm/v22/i1/p83
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретная математика
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