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<p>The paper presents results related to the solution of the problem of the best recovery of the value of an operator of a&#xa0;one-parameter family from approximate values of the operators of the family, when the parameter runs through a&#xa0;certain compact set on the half-line. A family of optimal recovery methods is constructed using approximate measurements at no more than two points of the specified compact.</p>

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On recovery of a family of operators in weighted spaces from inaccurate measurements

  • 期刊论文

  • 发表日期：

    2025年12月10日

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  • Marina V. Polovinkina

摘要

The paper presents results related to the solution of the problem of the best recovery of the value of an operator of a one-parameter family from approximate values of the operators of the family, when the parameter runs through a certain compact set on the half-line. A family of optimal recovery methods is constructed using approximate measurements at no more than two points of the specified compact.