On Optimal Harmonic Synthesis from Inaccurate Spectral Data
Funkcionalʹnyj analiz i ego priloženiâ, Tome 44 (2010) no. 3, pp. 76-79
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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, extremal problem.
Mots-clés : Fourier transform
Mots-clés : Fourier transform
@article{FAA_2010_44_3_a8,
author = {G. G. Magaril-Il'yaev and K. Yu. Osipenko},
title = {On {Optimal} {Harmonic} {Synthesis} from {Inaccurate} {Spectral} {Data}},
journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
pages = {76--79},
year = {2010},
volume = {44},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FAA_2010_44_3_a8/}
}
G. G. Magaril-Il'yaev; K. Yu. Osipenko. On Optimal Harmonic Synthesis from Inaccurate Spectral Data. Funkcionalʹnyj analiz i ego priloženiâ, Tome 44 (2010) no. 3, pp. 76-79. http://geodesic.mathdoc.fr/item/FAA_2010_44_3_a8/
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