Geodesic
Some estimates of the derivatives of algebraic polynomials and their applications to approximate differentiation
Matematičeskie zametki, Tome 5 (1969) no. 2, pp. 183-194 
N. S. Baiguzov. Some estimates of the derivatives of algebraic polynomials and their applications to approximate differentiation. Matematičeskie zametki, Tome 5 (1969) no. 2, pp. 183-194. http://geodesic.mathdoc.fr/item/MZM_1969_5_2_a5/
@article{MZM_1969_5_2_a5,
     author = {N. S. Baiguzov},
     title = {Some estimates of the derivatives of algebraic polynomials and their applications to approximate differentiation},
     journal = {Matemati\v{c}eskie zametki},
     pages = {183--194},
     year = {1969},
     volume = {5},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1969_5_2_a5/}
}
TY  - JOUR
AU  - N. S. Baiguzov
TI  - Some estimates of the derivatives of algebraic polynomials and their applications to approximate differentiation
JO  - Matematičeskie zametki
PY  - 1969
SP  - 183
EP  - 194
VL  - 5
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/MZM_1969_5_2_a5/
LA  - ru
ID  - MZM_1969_5_2_a5
ER  - 
%0 Journal Article
%A N. S. Baiguzov
%T Some estimates of the derivatives of algebraic polynomials and their applications to approximate differentiation
%J Matematičeskie zametki
%D 1969
%P 183-194
%V 5
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1969_5_2_a5/
%G ru
%F MZM_1969_5_2_a5

Voir la notice de l'article provenant de la source Math-Net.Ru

Asymptotics are found of the exact upper bound of the maximum of the derivatives on an interval for a class of algebraic polynomials of a specified degree which possess a majorization on a given set of points in the basic segment. Application to approximate differentiation is given.