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Sbornik: Mathematics, 2004, Volume 195, Issue 10, Pages 1461–1476
DOI: https://doi.org/10.1070/SM2004v195n10ABEH000853 (Mi sm853) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Optimal recovery of values of functions and their derivatives from inaccurate data on the Fourier transform

G. G. Magaril-Il'yaeva, K. Yu. Osipenkob

a Moscow State Institute of Radio-Engineering, Electronics and Automation (Technical University)
b Moscow State Aviation Technological University
English version PDF (196 kB) Citations (15) Russian version article
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DOI: https://doi.org/10.1070/SM2004v195n10ABEH000853
Abstract: The problems of the optimal recovery of the derivatives of functions from inaccurate information about the Fourier transforms of these functions on a finite interval or the entire number line are considered. The Stechkin problem of the approximation of derivatives by bounded linear functionals, which is closely connected to this range of problems, is also studied. Precise Kolmogorov-type inequalities for derivatives corresponding to these problems are obtained.
Received: 26.02.2004
Bibliographic databases:
UDC: 517.5
MSC: Primary 41A65; Secondary 41A46
Language: English
Original paper language: Russian
Citation: G. G. Magaril-Il'yaev, K. Yu. Osipenko, “Optimal recovery of values of functions and their derivatives from inaccurate data on the Fourier transform”, Sb. Math., 195:10 (2004), 1461–1476
Citation in format AMSBIB
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\by G.~G.~Magaril-Il'yaev, K.~Yu.~Osipenko
\paper Optimal recovery of values of functions and their derivatives from inaccurate data on the Fourier transform
\jour Sb. Math.
\yr 2004
\vol 195
\issue 10
\pages 1461--1476
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:724
    Russian version PDF:388
    English version PDF:22
    References:89
    First page:1
     
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