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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2024, Volume 520, Number 1, Pages 57–63
DOI: https://doi.org/10.31857/S2686954324060091 (Mi danma577) 		 
MATHEMATICS

On an approximation by band-limited functions

Yu. A. Kriksin, V. F. Tishkin

Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow, Russia
DOI: https://doi.org/10.31857/S2686954324060091
Abstract: The problem of approximating a continuous real function of one real variable defined on an interval using a band-limited function based on Tikhonov’s regularization method is considered. Numerical estimates of the accuracy of such approximations are calculated for a model trigonometric function. We analyze why a theoretical estimate for the approximation accuracy of a continuous function by band-limited functions is difficult to achieve numerically. The problem of estimating the spectrum of a signal defined on a finite interval is discussed.
Keywords: approximation, band-limited function, Tikhonov’s regularization method.
Funding agency Grant number
Moscow Center of Fundamental and Applied Mathematics 075-15-2022-283
This work was supported by the Moscow Center for Fundamental and Applied Mathematics jointly with the Ministry of Science and Higher Education of the Russian Federation, agreement no. 075-15-2022-283, and was performed using the facilities of the Center for collective use of high-performance computing resources at Lomonosov Moscow State University.
Received: 08.10.2024
Revised: 25.10.2024
Accepted: 31.10.2024
English version:
Doklady Mathematics, 2024, Volume 110, Issue 3, Pages 500–505
DOI: https://doi.org/10.1134/S1064562424602312
Bibliographic databases:
Document Type: Article
UDC: 51-72, 51-76
Language: Russian
Citation: Yu. A. Kriksin, V. F. Tishkin, “On an approximation by band-limited functions”, Dokl. RAN. Math. Inf. Proc. Upr., 520:1 (2024), 57–63; Dokl. Math., 110:3 (2024), 500–505
Citation in format AMSBIB
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\by Yu.~A.~Kriksin, V.~F.~Tishkin
\paper On an approximation by band-limited functions
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2024
\vol 520
\issue 1
\pages 57--63
\mathnet{http://mi.mathnet.ru/danma577}
\crossref{https://doi.org/10.31857/S2686954324060091}
\elib{https://elibrary.ru/item.asp?id=80301239}
\transl
\jour Dokl. Math.
\yr 2024
\vol 110
\issue 3
\pages 500--505
\crossref{https://doi.org/10.1134/S1064562424602312}
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