Email this article The Best Approximation of a Set Whose Elements Are Known Approximately
- Authors: Magaril-Il’yaev G.G.1,2, Osipenko K.Y.2,3, Sivkova E.O.4
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Affiliations:
- Faculty of Mechanics and Mathematics, Moscow State University
- Institute for Information Transmission Problems, Russian Academy of Sciences
- Moscow State Aviation Technological University
- Moscow State Institute of Radio Engineering, Electronics and Automation
- Issue: Vol 218, No 5 (2016)
- Pages: 636-646
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/238268
- DOI: https://doi.org/10.1007/s10958-016-3047-z
- ID: 238268
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Abstract
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.
About the authors
G. G. Magaril-Il’yaev
Faculty of Mechanics and Mathematics, Moscow State University; Institute for Information Transmission Problems, Russian Academy of Sciences
Author for correspondence.
Email: magaril@mech.math.msu.su
Russian Federation, Moscow; Moscow
K. Yu. Osipenko
Institute for Information Transmission Problems, Russian Academy of Sciences; Moscow State Aviation Technological University
Email: magaril@mech.math.msu.su
Russian Federation, Moscow; Moscow
E. O. Sivkova
Moscow State Institute of Radio Engineering, Electronics and Automation
Email: magaril@mech.math.msu.su
Russian Federation, Moscow
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