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Sibirskii Matematicheskii Zhurnal, 2018, Volume 59, Number 1, Pages 15–28
DOI: https://doi.org/10.17377/smzh.2018.59.102 (Mi smj2950) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Recovering linear operators and Lagrange function minimality condition

A. V. Arutyunova, K. Yu. Osipenkobc

a Peoples' Friendship University of Russia, Moscow, Russia
b Lomonosov Moscow State University, Moscow, Russia
c Institute for Information Transmission Problems, Moscow, Russia
Full-text PDF (335 kB) Citations (2)
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DOI: https://doi.org/10.17377/smzh.2018.59.102
Abstract: This article concerns the recovery of the operators by noisy information in the case that their norms are defined by integrals over infinite intervals. We study the conditions under which the dual extremal problem (often nonconvex) can be solved using the Lagrange function minimality condition.
Keywords: optimal recovery, linear operator, extremal problem, Lagrange function.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 02.a03.21.0008
1.962.2017
Russian Foundation for Basic Research 17-51-52022
17-01-00649
Russian Science Foundation 17-11-01168
The authors were supported by the Ministry for Education and Science of Russia (Project 1.962.2017/4.6), the Peoples' Friendship University of Russia (Program 5-100), and the Russian Foundation for Basic Research (Projects 17-51-52022; 18-01-00106; 17-51-12064). Lemmas 1 and 2 and Theorems 1 and 2 were obtained by the first author with the support of the Russian Science Foundation (Project 17-11-01168).
Received: 12.03.2017
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 1, Pages 11–21
DOI: https://doi.org/10.1134/S0037446618010020
Bibliographic databases:
Document Type: Article
UDC: 517.984
MSC: 35R30
Language: Russian
Citation: A. V. Arutyunov, K. Yu. Osipenko, “Recovering linear operators and Lagrange function minimality condition”, Sibirsk. Mat. Zh., 59:1 (2018), 15–28; Siberian Math. J., 59:1 (2018), 11–21
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/smj2950
  • https://www.mathnet.ru/eng/smj/v59/i1/p15
    • This publication is cited in the following 2 articles:
    1. Mikhail Ovchintsev, D. Rudoy, A.N. Altybaev, M. Petkovich, N. Miletic, “Optimal recovery of the derivate from the confined analytic function”, E3S Web Conf., 583 (2024), 07013  crossref
    2. R. R. Akopyan, “Optimal recovery of a derivative of an analytic function from values of the function given with an error on a part of the boundary. II”, Anal. Math., 46:3 (2020), 409–424  crossref  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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