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This article is cited in 24 scientific papers (total in 24 papers)
Brief communications
On Optimal Harmonic Synthesis from Inaccurate Spectral Data
G. G. Magaril-Il'yaevab, K. Yu. Osipenkocb a Moscow State Institute of Radio-Engineering, Electronics and Automation
b South Mathematical Institute of VSC RAS
c Moscow State Aviation Technological University
Abstract:
The problem of optimal recovery of derivatives of functions on the real line from inaccurate Fourier transforms of these functions on a finite interval is studied. Optimal recovery methods different in data handling procedures are constructed.
Keywords:
optimal recovery, linear operator, Fourier transform, extremal problem.
Received: 01.07.2009
Citation:
G. G. Magaril-Il'yaev, K. Yu. Osipenko, “On Optimal Harmonic Synthesis from Inaccurate Spectral Data”, Funktsional. Anal. i Prilozhen., 44:3 (2010), 76–79; Funct. Anal. Appl., 44:3 (2010), 223–225
Linking options:
https://www.mathnet.ru/eng/faa2999https://doi.org/10.4213/faa2999 https://www.mathnet.ru/eng/faa/v44/i3/p76
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Abstract page: | 610 | Full-text PDF : | 255 | References: | 55 | First page: | 14 |
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