Optimal recovery of linear operators in non-Euclidean metricsстатья
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Дата последнего поиска статьи во внешних источниках: 28 января 2015 г.
Аннотация:The paper looks at problems concerning the recovery of operators from noisy information in non-Euclidean metrics. A number of general theorems are proved and applied to recovery problems for functions and their derivatives from the noisy Fourier transform. In some cases, a family of optimal methods is found, from which the methods requiring the least amount of original information are singled out.