@article{ZVMMF_1991_31_2_a1,
author = {V. A. Zheludev},
title = {Local smoothing splines with a~regularizing parameter},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {193--211},
year = {1991},
volume = {31},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1991_31_2_a1/}
}
V. A. Zheludev. Local smoothing splines with a regularizing parameter. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 31 (1991) no. 2, pp. 193-211. http://geodesic.mathdoc.fr/item/ZVMMF_1991_31_2_a1/
[1] Zheludev V. A., “Vosstanovlenie funktsii i ikh proizvodnykh po setochnym dannym s pogreshnostyu pri pomoschi lokalnykh splainov”, Zh. vychisl. matem. i matem. fiz., 27:1 (1987), 22–34 | MR
[2] Schoenberg I. F., “Contribution to the problem of approximation of equidistant data by analytic functions”, Quart. Appl. Math., 4 (1946), 45–99 ; 112–141 | MR | Zbl | MR
[3] Zheludev V. A., “Lokalnye kvaziinterpolyatsionnye splainy i preobrazovaniya Fure”, Dokl. AN SSSR, 282:6 (1985), 1293–1298 | MR | Zbl
[4] Zheludev V. A., “Lokalnaya splain-approksimatsiya na ravnomernoi setke”, Zh. vychisl. matem. i matem. fiz., 27:9 (1987), 1296–1310 | MR
[5] Zheludev V. A., “Predstavlenie ostatochnogo chlena approksimatsii i tochnye otsenki dlya nekotorykh lokalnykh splainov”, Matem. zametki, 48:3 (1990), 54–65 | MR | Zbl
[6] Zheludev V. A., “Ob ostatochnykh chlenakh approksimatsii dlya lokalnykh splainov vtoroi i chetvertoi stepenei”, Izv. vuzov. Matematika, 1988, no. 6, 6–15 | MR
[7] Zavyalov Yu. S., Kvasov B. I., Miroshnichenko V. L., Metody splain-funktsii, Nauka, M., 1980 | MR
[8] Bakhvalov N. S., Chislennye metody, Nauka, M., 1975
[9] Schoenberg I. F., “Cardinal interpolation and spline functions”, J. Approach. Theory, 2:2 (1969), 167–206 | DOI | MR | Zbl
[10] Korneichuk H. P., “O priblizhenii lokalnymi splainami minimalnogo defekta”, Ukr. matem. zh., 4:5 (1982), 617–621 | MR
[11] Vershinin V. V., Pavlov N. N., “O priblizhenii proizvodnykh pri pomoschi sglazhivayuschikh splainov”, Metody splain-funktsii v chisl. analize, Vychisl. sistemy, 98, In-t matem. SO AN SSSR, Novosibirsk, 1983, 83–91 | MR