@article{SJIM_2006_9_3_a11,
author = {V. P. Tanana},
title = {On an estimate for the approximation of a~piecewise-continuous solution of a~linear operator equation},
journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
pages = {124--138},
year = {2006},
volume = {9},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/SJIM_2006_9_3_a11/}
}
TY - JOUR AU - V. P. Tanana TI - On an estimate for the approximation of a piecewise-continuous solution of a linear operator equation JO - Sibirskij žurnal industrialʹnoj matematiki PY - 2006 SP - 124 EP - 138 VL - 9 IS - 3 UR - http://geodesic.mathdoc.fr/item/SJIM_2006_9_3_a11/ LA - ru ID - SJIM_2006_9_3_a11 ER -
V. P. Tanana. On an estimate for the approximation of a piecewise-continuous solution of a linear operator equation. Sibirskij žurnal industrialʹnoj matematiki, Tome 9 (2006) no. 3, pp. 124-138. http://geodesic.mathdoc.fr/item/SJIM_2006_9_3_a11/
[1] Ageev A. L., “Regulyarizatsiya nelineinykh operatornykh uravnenii na klasse razryvnykh funktsii”, Zhurn. vychisl. matematiki i mat. fiziki, 20:4 (1980), 819–826 | MR | Zbl
[2] Leonov A. S., “Kusochno-ravnomernaya regulyarizatsiya nekorrektnykh zadach s razryvnymi resheniyami”, Zhurn. vychisl. matematiki i mat. fiziki, 22:3 (1982), 516–531 | MR | Zbl
[3] Vasin V. V., Ageev A. L., Nekorrektnye zadachi s apriornoi informatsiei, Nauka, Ekaterinburg, 1993 | MR
[4] Sobolev S. L., Nekotorye primeneniya funktsionalnogo analiza v matematicheskoi fizike, Nauka, M., 1988 | MR
[5] Kolmogorov A. N., Fomin S. V., Elementy teorii funktsii i funktsionalnogo analiza, Nauka, M., 1972
[6] Tanana V. P., “O priblizhennom reshenii nelineinykh operatornykh uravnenii”, Sib. mat. zhurn., 39:5 (1998), 1175–1183 | MR | Zbl
[7] Ivanov V. K., Vasin V. V., Tanana V. P., Teoriya lineinykh nekorrektnykh zadach i ee prilozheniya, Nauka, M., 1978 | MR
[8] Khromova G. V., “Ob otsenke pogreshnostei priblizhennogo resheniya uravnenii pervogo roda”, Dokl. RAN, 378:2 (2001), 605–609 | MR | Zbl
[9] Alifanov O. M., Artyukhin E. A., Rumyantsev S. V., Ekstremalnye metody resheniya nekorrektnykh zadach, Nauka, M., 1988 | MR | Zbl
[10] Ditkin V. A., Prudnikov A. P., Integralnye preobrazovaniya i operatsionnoe ischislenie, Nauka, M., 1961
[11] 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