RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive
Impact factor
Subscription

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Diskr. Mat.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Diskr. Mat., 2010, Volume 22, Issue 1, Pages 83–103 (Mi dm1086)  

This article is cited in 2 scientific papers (total in 2 papers)

On approximation of continuous functions by determinate functions with delay

A. N. Cherepov


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.

DOI: https://doi.org/10.4213/dm1086

Full text: PDF file (218 kB)
References: PDF file   HTML file

English version:
Discrete Mathematics and Applications, 2010, 20:1, 1–24

Bibliographic databases:

UDC: 519.95
Received: 11.06.2008

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
\Bibitem{Che10}
\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
\mathnet{http://mi.mathnet.ru/dm1086}
\crossref{https://doi.org/10.4213/dm1086}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2675433}
\zmath{https://zbmath.org/?q=an:05779530}
\elib{http://elibrary.ru/item.asp?id=20730326}
\transl
\jour Discrete Math. Appl.
\yr 2010
\vol 20
\issue 1
\pages 1--24
\crossref{https://doi.org/10.1515/DMA.2010.001}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77952667894}


Linking options:
  • http://mi.mathnet.ru/eng/dm1086
  • https://doi.org/10.4213/dm1086
  • http://mi.mathnet.ru/eng/dm/v22/i1/p83

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. N. Cherepov, “Approximation of continuous functions by finite automata”, Discrete Math. Appl., 22:4 (2012), 445–453  mathnet  crossref  crossref  mathscinet  elib
    2. Anashin V.S., “Smooth finitely computable functions are affine, or why quantum systems cause waves”, Dokl. Math., 92:3 (2015), 655–657  crossref  mathscinet  zmath  isi  elib  scopus
  • Дискретная математика
    Number of views:
    This page:300
    Full text:121
    References:41
    First page:13

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020