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Title: Optimal recovery of linear operators in non-Euclidean metrics

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. Bibliography: 25 titles.
Authors:
 [1]
  1. Moscow State Aviation Technological University, Moscow (Russian Federation)
Publication Date:
OSTI Identifier:
22364687
Resource Type:
Journal Article
Resource Relation:
Journal Name: Sbornik. Mathematics; Journal Volume: 205; Journal Issue: 10; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; FOURIER TRANSFORMATION; FUNCTIONS; MATHEMATICAL OPERATORS; MATHEMATICAL SOLUTIONS; METRICS