Published October 31, 2014
| Version v1
Journal article
Optimal recovery of linear operators in non-Euclidean metrics
Creators
- 1. Moscow State Aviation Technological University, Moscow (Russian Federation)
Description
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
Availability note (English)
Available from http://dx.doi.org/10.1070/SM2014v205n10ABEH004425Additional details
Identifiers
Publishing Information
- Journal Title
- Sbornik. Mathematics
- Journal Volume
- 205
- Journal Issue
- 10
- Journal Page Range
- p. 1442-1472
- ISSN
- 1064-5616
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 46070019
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING;
- Descriptors DEI
- FOURIER TRANSFORMATION; FUNCTIONS; MATHEMATICAL OPERATORS; MATHEMATICAL SOLUTIONS; METRICS
- Descriptors DEC
- INTEGRAL TRANSFORMATIONS; TRANSFORMATIONS