Geodesic
Uniform estimate for a~segment function in terms of a~polynomial strip
Algebra i analiz, Tome 24 (2012) no. 5, pp. 44-71.

Voir la notice de l'article provenant de la source Math-Net.Ru

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S. I. Dudov; E. V. Sorina. Uniform estimate for a~segment function in terms of a~polynomial strip. Algebra i analiz, Tome 24 (2012) no. 5, pp. 44-71. http://geodesic.mathdoc.fr/item/AA_2012_24_5_a1/

[1] Pshenichnyi B. N., Vypuklyi analiz i ekstremalnye zadachi, Nauka, M., 1980 | MR | Zbl

[2] Demyanov V. F., Vasilev L. V., Nedifferentsiruemaya optimizatsiya, Nauka, M., 1981 | MR

[3] Demyanov V. F., Rubinov A. M., Osnovy negladkogo analiza i kvazidifferentsialnoe ischislenie, Nauka, M., 1990 | MR

[4] Polovinkin E. S., Teoriya mnogoznachnykh otobrazhenii, MFTI, M., 1983

[5] Magaril-Ilyaev G. G., Tikhomirov V. M., Vypuklyi analiz i ego prilozheniya, Editorial URSS, M., 2000

[6] Sendov Bl., Khausdorfovye priblizheniya, Bolg. akad. nauk, Sofiya, 1979 | MR | Zbl

[7] Dzyadyk V. K., Vvedenie v teoriyu ravnomernogo priblizheniya funktsii polinomami, Nauka, M., 1977 | MR | Zbl

[8] Karlin S., Stadden V., Chebyshevskie sistemy i ikh primenenie v analize i statistike, Nauka, M., 1976 | MR

[9] Vygodchikova I. Yu., Dudov S. I., Sorina E. V., “Vneshnyaya otsenka segmentnoi funktsii polinomialnoi polosoi”, Zh. vychisl. mat. i mat. fiz., 49:7 (2009), 1175–1183 | MR | Zbl

[10] Chernousko F. L., Otsenivanie fazovogo sostoyaniya dinamicheskikh sistem: metod ellipsoidov, Nauka, M., 1988 | MR

[11] Kurzhanski A. B., Vályi I., Ellipsoidal calculus for estimation and control, Systems and Control: Foundations and Applications, Birkhäuser Boston, Inc., Boston, MA, 1997 | MR | Zbl

[12] Nikolskii M. S., “Ob approksimatsii nepreryvnogo mnogoznachnogo otobrazheniya postoyannymi mnogoznachnymi otobrazheniyami”, Vestn. MGU. Ser. 15. Vychisl. mat. i kibernetika, 1990, no. 1, 76–79 | MR

[13] Dudov S. I., Konoplev A. B., “O priblizhenii nepreryvnogo mnogoznachnogo otobrazheniya postoyannymi mnogoznachnymi otobrazheniyami s sharovymi obrazami”, Mat. zametki, 82:4 (2007), 525–529 | DOI | MR | Zbl

[14] Demyanov V. F., Malozëmov V. N., Vvedenie v minimaks, Nauka, M., 1972 | MR