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The possibility of estimating the values of the function at the given points on the measurement result of a finite number of its linear functionalстатья
Информация о цитировании статьи получена из
Web of Science
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 27 мая 2015 г.
- Авторы: Chulichkov A.I., Yuan B.
- Журнал: Moscow University Physics Bulletin
- Том: 69
- Номер: 3
- Год издания: 2014
- Издательство: Allerton Press
- Местоположение издательства: New York, N.Y., United States
- Первая страница: 218
- Последняя страница: 222
- DOI: 10.3103/S0027134914030059
- Аннотация: The possibility of estimating the values of a function at given points of its domain is investigated. The estimation uses results of the measurements of a finite number of linear functionals; the results of the measurements are distorted by an error. It is shown that only the component of the functions from the linear finitedimensional subspace can be estimated with a finite error. A method for estimating this component with accuracy control is proposed. The mathematical methods of measurement reduction proposed by Yu.P. Pyt’ev are used. An example of the estimation of an emission spectrum that is measured by a double slit spectrometer is described.
- Добавил в систему: Чуличков Алексей Иванович