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.
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Original Russian Text Copyright © 2018 Arutyunov A.V. and Osipenko K.Yu.
Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 59, No. 1, pp. 15–28, January–February, 2018; DOI: 10.17377/smzh.2018.59.102
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Arutyunov, A.V., Osipenko, K.Y. Recovering Linear Operators and Lagrange Function Minimality Condition. Sib Math J 59, 11–21 (2018). https://doi.org/10.1134/S0037446618010020
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DOI: https://doi.org/10.1134/S0037446618010020