Optimal recovery of linear operators in non-Euclidean metrics
Journal Article
·
· Sbornik. Mathematics
- Moscow State Aviation Technological University, Moscow (Russian Federation)
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.
- OSTI ID:
- 22364687
- Journal Information:
- Sbornik. Mathematics, Vol. 205, Issue 10; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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