Voir la notice de l'article provenant de la source Math-Net.Ru
@article{IM2_1973_7_1_a7, author = {V. L. Velikin}, title = {Precise approximation values by {Hermitian} splines on classes of differentiable function}, journal = {Izvestiya. Mathematics }, pages = {163--184}, publisher = {mathdoc}, volume = {7}, number = {1}, year = {1973}, language = {en}, url = {http://geodesic.mathdoc.fr/item/IM2_1973_7_1_a7/} }
V. L. Velikin. Precise approximation values by Hermitian splines on classes of differentiable function. Izvestiya. Mathematics , Tome 7 (1973) no. 1, pp. 163-184. http://geodesic.mathdoc.fr/item/IM2_1973_7_1_a7/
[1] Krylov V. I., Priblizhennoe vychislenie integralov, Nauka, M., 1967 | MR
[2] Ahlberg J. H., Nilson E. N. and Walsh J. L., The theory of splines and their applications, Academic Press, New York, London, 1967 | MR | Zbl
[3] Ciarlet P. G., Schultz M. H., Varga R. S., “Numerical methods of high-order accuracy for nonlinear boundary value problems. I: One dimentional problem”, Numer. Math., 9 (1967), 394–430 | DOI | MR | Zbl
[4] Birkhoff G., Schultz M. H. and Varga R. S., “Piecewise Hermite interpolation in one and two variables with applications to partial differential equations”, Numer. Math., 11 (1968), 232–256 | DOI | MR | Zbl
[5] Malozemov V. N., “Ob otklonenii lomanykh”, Vestnik Leningr. un-ta, 1966, no. 7, 150–153 | MR | Zbl
[6] Velikin V. L., Korneichuk N. P., “Tochnye otsenki priblizheniya splain-funktsiyami na klassakh differentsiruemykh funktsii”, Matem. zametki, 9:5 (1971), 483–494 | MR | Zbl
[7] Loginov A. S., “Priblizhenie nepreryvnykh funktsii lomanymi”, Matem. zametki, 6:2 (1969), 149–160 | MR | Zbl
[8] Velikin V. L., “O nailuchshem priblizhenii splain-funktsiyami na klassakh nepreryvnykh funktsii”, Matem. zametki, 8:1 (1970), 41–46 | MR | Zbl
[9] Storchai V. F., “Ob otklonenii lomanykh v metrike $L_p$”, Matem. zametki, 5:1 (1969), 31–37 | MR
[10] Schoenberg I. J., On spline functions, Inequalities, Academic Press, New York, 1967 | MR
[11] Tikhomirov V. M., “Nailuchshie metody priblizheniya i interpolirovaniya differentsiruemykh funktsii v prostranstve $C_{[-1,1]}$”, Matem. sb., 80:2 (1969), 290–304 | Zbl
[12] Swartz B., “$O(h^{2n+2-1})$ bounds on some spline interpolation errors”, Bull. Amer. Math. Soc., 74 (1968), 1072–1078 | DOI | MR | Zbl
[13] Cheney E. W., Schurer F., “On interpolating by cubic splines with equally spaced nodes”, Indag. Math., 30:5 (1968), 517–524 | MR
[14] Velikin V. L., “Priblizhenie kubicheskimi splainami na klassakh nepreryvno differentsiruemykh funktsii”, Matem. zametki, 11:2 (1972), 215–226 | MR | Zbl
[15] Davis P. J., Interpolation and Approximation, Blaisdell, New York, 1963 | MR | Zbl
[16] Levin M., “Ekstremalnye zadachi dlya kvadraturnykh formul na nekotorykh mnozhestvakh funktsii”, Izv. AN ESSR, 19:4 (1970), 407–414 | Zbl
[17] Korneichuk N. P., “Verkhnie grani funktsionalov i nailuchshie priblizheniya na klassakh periodicheskikh funktsii”, Izv. AN SSSR. Ser. matem., 35 (1971), 93–124
[18] Korneichuk N. P., “Ob otsenke priblizheniya funktsii klassa $H^{(\alpha)}$ trigonometricheskimi mnogochlenami”, Issled. po sovremennym problemam teorii funktsii, M., 1961, 148–153