Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2009), pp. 18-22
Citer cet article
O. B. Arushanyan; S. F. Zaletkin. Application of Markov’s quadrature in orthogonal expansions. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2009), pp. 18-22. http://geodesic.mathdoc.fr/item/VMUMM_2009_6_a2/
@article{VMUMM_2009_6_a2,
author = {O. B. Arushanyan and S. F. Zaletkin},
title = {Application of {Markov{\textquoteright}s} quadrature in orthogonal expansions},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {18--22},
year = {2009},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2009_6_a2/}
}
TY - JOUR
AU - O. B. Arushanyan
AU - S. F. Zaletkin
TI - Application of Markov’s quadrature in orthogonal expansions
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 2009
SP - 18
EP - 22
IS - 6
UR - http://geodesic.mathdoc.fr/item/VMUMM_2009_6_a2/
LA - ru
ID - VMUMM_2009_6_a2
ER -
%0 Journal Article
%A O. B. Arushanyan
%A S. F. Zaletkin
%T Application of Markov’s quadrature in orthogonal expansions
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2009
%P 18-22
%N 6
%U http://geodesic.mathdoc.fr/item/VMUMM_2009_6_a2/
%G ru
%F VMUMM_2009_6_a2
A method of using Markov's quadrature with a fixed node is proposed to calculate the coefficients of the expansion of a function in a Chebyshev shifted series. Approximation properties of a partial sum of the series with approximate coefficients are considered. This approach can be used to construct a number of numerical analytic methods for solving ordinary differential equations.
