Geodesic
Numerical methods in problems of best approximation by splines and nonlinear spectrum analysis
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 33 (1993) no. 10, pp. 1455-1467 
A. P. Buslaev; M. V. Yashina. Numerical methods in problems of best approximation by splines and nonlinear spectrum analysis. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 33 (1993) no. 10, pp. 1455-1467. http://geodesic.mathdoc.fr/item/ZVMMF_1993_33_10_a1/
@article{ZVMMF_1993_33_10_a1,
     author = {A. P. Buslaev and M. V. Yashina},
     title = {Numerical methods in problems of best approximation by splines and nonlinear spectrum analysis},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1455--1467},
     year = {1993},
     volume = {33},
     number = {10},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1993_33_10_a1/}
}
TY  - JOUR
AU  - A. P. Buslaev
AU  - M. V. Yashina
TI  - Numerical methods in problems of best approximation by splines and nonlinear spectrum analysis
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1993
SP  - 1455
EP  - 1467
VL  - 33
IS  - 10
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1993_33_10_a1/
LA  - ru
ID  - ZVMMF_1993_33_10_a1
ER  - 
%0 Journal Article
%A A. P. Buslaev
%A M. V. Yashina
%T Numerical methods in problems of best approximation by splines and nonlinear spectrum analysis
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1993
%P 1455-1467
%V 33
%N 10
%U http://geodesic.mathdoc.fr/item/ZVMMF_1993_33_10_a1/
%G ru
%F ZVMMF_1993_33_10_a1

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

[1] Tikhomirov V. M., Nekotorye voprosy teorii priblizhenii, Izd-vo MGU, M., 1976 | MR

[2] Pinkus A., $n$-Widths in approximation theory, Springer, Stuttgart, 1985 | MR

[3] Barrar R. B., Loeb H. L., “The fundamental theorem of algebra and the interpolating envelope for totally positive perfect splines”, J. Approximation Theory, 34 (1982), 167–186 | DOI | MR | Zbl

[4] Zhensykbaev A. A., “Fundamental theorem of algebra for monosplines with multiple nodes”, J. Approximation Theory, 56 (1989), 121–133 | DOI | MR | Zbl

[5] Pinkus A., “$n$-Widths of Sobolev spaces in $L_p$”, Constructive Approximation, 1985, no. 1, 15–62 | DOI | MR | Zbl

[6] Buslaev A. P., Tikhomirov V. M., “Spektry nelineinykh differentsialnykh uravnenii i poperechniki sobolevskikh klassov”, Matem. sb., 181:12 (1990), 1587–1606 | MR

[7] Buslaev A. P., “Ekstremalnye zadachi teorii priblizhenii i nelineinye kolebaniya”, Dokl. AN SSSR, 305:6 (1989), 1289–1294 | MR | Zbl

[8] Buslaev A. P., “Nelineinye spektry matrits i ekstremalnye zadachi”, Zh. vychisl. matem. i matem. fiz., 30:6 (1990), 803–816 | MR

[9] Riss F., Sekefalvi-Nad B., Lektsii po funktsionalnomu analizu, Mir, M., 1979 | MR

[10] Kellog O. D., “On the existence and closure of sets of characteristic functions”, Math. Ann., 86 (1992), 14–17 | DOI | MR

[11] Bakhvalov N. S., Chislennye metody, Nauka, M., 1973 | MR | Zbl

[12] Nikolskii S. M., Kvadraturnye formuly, Nauka, M., 1987 | MR

[13] Zhensykbaev A. A., “Monosplainy minimalnoi normy i nailuchshie kvadraturnye formuly”, Uspekhi matem. nauk, 36:4 (1981), 109–159 | MR

[14] Parlett B., Simmetrichnaya problema sobstvennykh znachenii, Mir, M., 1983 | MR | Zbl

[15] Ortega Dzh., Reinboldt V., Iteratsionnye metody resheniya nelineinykh sistem uravnenii so mnogimi neizvestnymi, Mir, M., 1975 | MR

[16] Buslaev A. P., “Ob asimptotike poperechnikov i spektrov nelineinykh differentsialnykh uravnenii”, Algebra i analiz, 3:6 (1991), 108–118 | MR

[17] Kashin B. S., “Poperechniki nekotorykh konechnomernykh mnozhestv i klassov gladkikh funktsii”, Izv. AN SSSR. Ser. matem., 41:2 (1977), 334–351 | MR | Zbl