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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1983, Volume 23, Number 1, Pages 21–28 (Mi zvmmf4540)  

This article is cited in 1 scientific paper (total in 1 paper)

Estimation of a function from randomized observations

A. I. Koryakin

Tomsk
Full-text PDF (966 kB) Citations (1)
Abstract: The projection estimation of an unknown function from observations obtained at random nodes is considered. An estimate with optimal order of decrease of the error is proved for functions belonging to Sobolev classes. The computational advantages of this estimate are discussed. The influence of random errors of the observations is taken into account.
Received: 05.11.1980
Revised: 29.06.1981
English version:
USSR Computational Mathematics and Mathematical Physics, 1983, Volume 23, Issue 1, Pages 14–19
DOI: https://doi.org/10.1016/S0041-5553(83)80004-4
Bibliographic databases:
Document Type: Article
UDC: 519.676
MSC: Primary 65C99; Secondary 62J02
Language: Russian
Citation: A. I. Koryakin, “Estimation of a function from randomized observations”, Zh. Vychisl. Mat. Mat. Fiz., 23:1 (1983), 21–28; U.S.S.R. Comput. Math. Math. Phys., 23:1 (1983), 14–19
Citation in format AMSBIB
\Bibitem{Kor83}
\by A.~I.~Koryakin
\paper Estimation of a function from randomized observations
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1983
\vol 23
\issue 1
\pages 21--28
\mathnet{http://mi.mathnet.ru/zvmmf4540}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=692738}
\zmath{https://zbmath.org/?q=an:0535.65098}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1983
\vol 23
\issue 1
\pages 14--19
\crossref{https://doi.org/10.1016/S0041-5553(83)80004-4}
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  • https://www.mathnet.ru/eng/zvmmf/v23/i1/p21
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