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Эта публикация цитируется в 10 научных статьях (всего в 10 статьях)
Optimal recovery of semi-group operators from inaccurate data
G. G. Magaril-Il'yaevab, E. O. Sivkovacd a Institute for Information Transmission Problems,
Russian Academy of Sciences, Bol'shoi Karetnyi per. 19, str. 1,
Moscow, 127051 Russia
b Southern Mathematical Institute — the Affiliate of the Vladikavkaz
Scientific Centre of the Russian Academy of Sciences, ul. Vatutina 53,
Vladikavkaz, 362025 Russia
c Faculty of Mechanics and Mathematics, Moscow State University,
Moscow, 119991 Russia
d Moscow Pedagogical State University (MPGU),
1/1 M. Pirogovskaya St, Moscow, 119991 Russia
Аннотация:
The problem of optimal recovery of the operator at a given value of the parameter from inaccurate information about the other parameters is solved for a special one-parameter semi-group of operators. A family of optimal recovery methods is constructed. As a corollary, we obtain families of optimal recovery methods in the problem of recovery of a solution of the heat equation on the line and in the problem of recovery of a solution to the Dirichlet problem for the half-plane.
Ключевые слова и фразы:
semi-group of operators, optimal recovery, extremal problem, Fourier transform.
Поступила в редакцию: 01.03.2019
Образец цитирования:
G. G. Magaril-Il'yaev, E. O. Sivkova, “Optimal recovery of semi-group operators from inaccurate data”, Eurasian Math. J., 10:4 (2019), 75–84
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/emj349 https://www.mathnet.ru/rus/emj/v10/i4/p75
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