具有随机误差的已知信息中线性算子值的最优恢复

IF 0.8 4区数学 Q2 MATHEMATICS

Sbornik Mathematics Pub Date : 2021-01-01 DOI:10.1070/SM9484

K. Y. Krivosheev

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引用次数: 0

摘要

考虑了一类具有随机误差的已知元素的线性算子值的最优恢复问题。线性最优恢复方法通常不使用所有可用信息进行测量。因此，描述了从具有随机误差的有限傅里叶系数集合中恢复函数的最佳方法。参考书目:14篇。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On optimal recovery of values of linear operators from information known with a stochastic error

The optimal recovery of values of linear operators is considered for classes of elements the information on which is known with a stochastic error. Linear optimal recovery methods are constructed that, in general, do not use all the available information for the measurements. As a consequence, an optimal method is described for recovering a function from a finite set of its Fourier coefficients specified with a stochastic error. Bibliography: 14 titles.

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来源期刊

Sbornik Mathematics 数学-数学

CiteScore

1.40

自引率

12.50%

发文量

审稿时长

6-12 weeks

期刊介绍： The Russian original is rigorously refereed in Russia and the translations are carefully scrutinised and edited by the London Mathematical Society. The journal has always maintained the highest scientific level in a wide area of mathematics with special attention to current developments in: Mathematical analysis Ordinary differential equations Partial differential equations Mathematical physics Geometry Algebra Functional analysis