Matematičeskie zametki, Tome 19 (1976) no. 3, pp. 323-329
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V. F. Babenko; A. A. Ligun. The order of the best one-sided approximation by polynomials and splines in the $L_p$-metric. Matematičeskie zametki, Tome 19 (1976) no. 3, pp. 323-329. http://geodesic.mathdoc.fr/item/MZM_1976_19_3_a1/
@article{MZM_1976_19_3_a1,
author = {V. F. Babenko and A. A. Ligun},
title = {The order of the best one-sided approximation by polynomials and splines in the $L_p$-metric},
journal = {Matemati\v{c}eskie zametki},
pages = {323--329},
year = {1976},
volume = {19},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1976_19_3_a1/}
}
TY - JOUR
AU - V. F. Babenko
AU - A. A. Ligun
TI - The order of the best one-sided approximation by polynomials and splines in the $L_p$-metric
JO - Matematičeskie zametki
PY - 1976
SP - 323
EP - 329
VL - 19
IS - 3
UR - http://geodesic.mathdoc.fr/item/MZM_1976_19_3_a1/
LA - ru
ID - MZM_1976_19_3_a1
ER -
%0 Journal Article
%A V. F. Babenko
%A A. A. Ligun
%T The order of the best one-sided approximation by polynomials and splines in the $L_p$-metric
%J Matematičeskie zametki
%D 1976
%P 323-329
%V 19
%N 3
%U http://geodesic.mathdoc.fr/item/MZM_1976_19_3_a1/
%G ru
%F MZM_1976_19_3_a1
In this paper we determine the order of the best one-sided approximation by polynomials and splines of minimal defect of the classes $W^rL_p$ in the $L_p$-metric.