Enviar artigo por via de e-mail The Best Approximation of a Set Whose Elements Are Known Approximately
- Autores: Magaril-Il’yaev G.1,2, Osipenko K.2,3, Sivkova E.4
-
Afiliações:
- 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
- Edição: Volume 218, Nº 5 (2016)
- Páginas: 636-646
- Seção: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/238268
- DOI: https://doi.org/10.1007/s10958-016-3047-z
- ID: 238268
Citar
Acesso aberto
Acesso está concedido
Somente assinantes
Resumo
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.
Sobre autores
G. Magaril-Il’yaev
Faculty of Mechanics and Mathematics, Moscow State University; Institute for Information Transmission Problems, Russian Academy of Sciences
Autor responsável pela correspondência
Email: magaril@mech.math.msu.su
Rússia, Moscow; Moscow
K. Osipenko
Institute for Information Transmission Problems, Russian Academy of Sciences; Moscow State Aviation Technological University
Email: magaril@mech.math.msu.su
Rússia, Moscow; Moscow
E. Sivkova
Moscow State Institute of Radio Engineering, Electronics and Automation
Email: magaril@mech.math.msu.su
Rússia, Moscow
