Geodesic
On the Order Optimality of a Method for Evaluating Unbounded Operators and Its Applications
Sibirskij žurnal industrialʹnoj matematiki, Tome 12 (2009) no. 3, pp. 130-140 Cet article a éte moissonné depuis la source Math-Net.Ru

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We propose an order optimal method for approximate solving the problem of calculating the values of unbounded operators in various spaces.
Keywords: inverse problem, regularization, unbounded operator, Hilbert space.
Mots-clés : parabolic equation, Fourier transform 
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V. P. Tanana; A. I. Sidikova. On the Order Optimality of a Method for Evaluating Unbounded Operators and Its Applications. Sibirskij žurnal industrialʹnoj matematiki, Tome 12 (2009) no. 3, pp. 130-140. http://geodesic.mathdoc.fr/item/SJIM_2009_12_3_a12/

[1] Tanana V. P., “Ob optimalnosti po poryadku metoda proektsionnoi regulyarizatsii pri reshenii obratnykh zadach”, Sib. zhurn. industr. matematiki, 7:2 (2004), 117–132 | MR | Zbl

[2] Alifanov O. M., Artyukhin E. A., Rumyantsev S. V., Ekstremalnye metody resheniya nekorrektnykh zadach, Nauka, M., 1988 | MR | Zbl

[3] Kolmogorov A. N., Fomin S. V., Elementy teorii funktsii i funktsionalnogo analiza, Nauka, M., 1972

[4] Lavrentev M. M., O nekotorykh nekorrektnykh zadachakh matematicheskoi fiziki, Nauka, Novosibirsk, 1962 | MR

[5] Tanana V. P., Yaparova N. M., “Ob optimalnykh po poryadku metodakh resheniya uslovno-korrektnykh zadach”, Sib. zhurn. vychisl. matematiki, 9:4 (2006), 353–368