The Best Approximation of a Set Whose Elements Are Known Approximately


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This paper is concerned with the problem of the best (in a precisely defined sense) approximation with given accuracy of periodic functions and functions on the real line from, respectively, a finite tuple of noisy Fourier coefficients or noisy Fourier transform on an arbitrary set of finite measure.

作者简介

G. Magaril-Il’yaev

Faculty of Mechanics and Mathematics, Moscow State University; Institute for Information Transmission Problems, Russian Academy of Sciences

编辑信件的主要联系方式.
Email: magaril@mech.math.msu.su
俄罗斯联邦, Moscow; Moscow

K. Osipenko

Institute for Information Transmission Problems, Russian Academy of Sciences; Moscow State Aviation Technological University

Email: magaril@mech.math.msu.su
俄罗斯联邦, Moscow; Moscow

E. Sivkova

Moscow State Institute of Radio Engineering, Electronics and Automation

Email: magaril@mech.math.msu.su
俄罗斯联邦, Moscow

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