Matematičeskie zametki, Tome 7 (1970) no. 4, pp. 483-493
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N. S. Bakhvalov; M. Shtrekho. Regularization of Ritz method on an example of polynomial approximation. Matematičeskie zametki, Tome 7 (1970) no. 4, pp. 483-493. http://geodesic.mathdoc.fr/item/MZM_1970_7_4_a13/
@article{MZM_1970_7_4_a13,
author = {N. S. Bakhvalov and M. Shtrekho},
title = {Regularization of {Ritz} method on an example of polynomial approximation},
journal = {Matemati\v{c}eskie zametki},
pages = {483--493},
year = {1970},
volume = {7},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1970_7_4_a13/}
}
TY - JOUR
AU - N. S. Bakhvalov
AU - M. Shtrekho
TI - Regularization of Ritz method on an example of polynomial approximation
JO - Matematičeskie zametki
PY - 1970
SP - 483
EP - 493
VL - 7
IS - 4
UR - http://geodesic.mathdoc.fr/item/MZM_1970_7_4_a13/
LA - ru
ID - MZM_1970_7_4_a13
ER -
%0 Journal Article
%A N. S. Bakhvalov
%A M. Shtrekho
%T Regularization of Ritz method on an example of polynomial approximation
%J Matematičeskie zametki
%D 1970
%P 483-493
%V 7
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_1970_7_4_a13/
%G ru
%F MZM_1970_7_4_a13
Relation is established between the rate of approximating of a function by polynomials and the rate of growth of the coefficients of these polynomials depending on analytic or differential properties of these functions. It is found that our result is connected with regularization of the Ritz method and with the construction of standard programs for function computation.