Simultaneous approximation of the solution and its derivatives in a boundary value problem for a linear differential equation with polynomial coefficients
Izvestiya. Mathematics , Tome 38 (1992) no. 3, pp. 553-573
Voir la notice de l'article provenant de la source Math-Net.Ru
The author investigates an algorithm for the construction of a polynomial that realizes the simultaneous approximation of the solution of a boundary value problem and its derivatives with the same rapidity of decrease of the error as for the case of the best uniform polynomial approximation of the function on an interval.
@article{IM2_1992_38_3_a5,
author = {E. S. Sinaiskii},
title = {Simultaneous approximation of the solution and its derivatives in a boundary value problem for a linear differential equation with polynomial coefficients},
journal = {Izvestiya. Mathematics },
pages = {553--573},
publisher = {mathdoc},
volume = {38},
number = {3},
year = {1992},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1992_38_3_a5/}
}
TY - JOUR AU - E. S. Sinaiskii TI - Simultaneous approximation of the solution and its derivatives in a boundary value problem for a linear differential equation with polynomial coefficients JO - Izvestiya. Mathematics PY - 1992 SP - 553 EP - 573 VL - 38 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IM2_1992_38_3_a5/ LA - en ID - IM2_1992_38_3_a5 ER -
%0 Journal Article %A E. S. Sinaiskii %T Simultaneous approximation of the solution and its derivatives in a boundary value problem for a linear differential equation with polynomial coefficients %J Izvestiya. Mathematics %D 1992 %P 553-573 %V 38 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/IM2_1992_38_3_a5/ %G en %F IM2_1992_38_3_a5
E. S. Sinaiskii. Simultaneous approximation of the solution and its derivatives in a boundary value problem for a linear differential equation with polynomial coefficients. Izvestiya. Mathematics , Tome 38 (1992) no. 3, pp. 553-573. http://geodesic.mathdoc.fr/item/IM2_1992_38_3_a5/