G. G. Magaril-Il'yaev, K. Yu. Osipenko, “On Optimal Harmonic Synthesis from Inaccurate Spectral Data”, Funktsional. Anal. i Prilozhen., 2010, Volume 44, Issue 3,Pages <nobr>76

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Brief communications

On Optimal Harmonic Synthesis from Inaccurate Spectral Data

G. G. Magaril-Il'yaev^ab, K. Yu. Osipenko^cb

^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.

UDC: 517.51

Received: 01.07.2009

DOI: 10.4213/faa2999