Geodesic
The approximation of functions by algebraic polynomials
Izvestiya. Mathematics, Tome 2 (1968) no. 4, pp. 735-743 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In this paper we present a new method for approximating functions by algebraic polynomials. Using this method we prove an approximation theorem in the most general situation, taking into account the position of the point in the interval. 
@article{IM2_1968_2_4_a4,
     author = {Yu. A. Brudnyi},
     title = {The approximation of functions by algebraic polynomials},
     journal = {Izvestiya. Mathematics},
     pages = {735--743},
     year = {1968},
     volume = {2},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1968_2_4_a4/}
}
TY  - JOUR
AU  - Yu. A. Brudnyi
TI  - The approximation of functions by algebraic polynomials
JO  - Izvestiya. Mathematics
PY  - 1968
SP  - 735
EP  - 743
VL  - 2
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/IM2_1968_2_4_a4/
LA  - en
ID  - IM2_1968_2_4_a4
ER  - 
%0 Journal Article
%A Yu. A. Brudnyi
%T The approximation of functions by algebraic polynomials
%J Izvestiya. Mathematics
%D 1968
%P 735-743
%V 2
%N 4
%U http://geodesic.mathdoc.fr/item/IM2_1968_2_4_a4/
%G en
%F IM2_1968_2_4_a4
Yu. A. Brudnyi. The approximation of functions by algebraic polynomials. Izvestiya. Mathematics, Tome 2 (1968) no. 4, pp. 735-743. http://geodesic.mathdoc.fr/item/IM2_1968_2_4_a4/

[1] Timan A. F., “Usilenie teoremy Dzheksona”, Dokl. AN SSSR, 81:4 (1951), 509–511 | MR | Zbl

[2] Dzyadyk V. K., “O priblizhenii funktsii obyknovennymi mnogochlenami”, Izv. AN SSSR. Ser. matem., 22 (1958), 337–354 | MR

[3] Freud G., “Über die Approximation reeler stetigen Functionen durch gewöhnliche Polynome”, Math. Ann., 137:1 (1959), 17–25 | DOI | MR | Zbl

[4] Brudnyi Yu. A., “Obobschenie odnoi teoremy A. F. Timana”, Dokl. AN SSSR, 148:6 (1963), 1237–1240 | MR | Zbl

[5] Whitney H., “On functions with bounded $n$-th differences”, J. math. pures et appl., 9:36 (1957), 67–95 | MR

[6] Brudnyi Yu. A., “Ob odnoi teoreme teorii lokalnykh priblizhenii”, Uch. zap. Kazansk. un-ta, 124:6 (1964), 43–49 | MR

[7] Timan A. F., Teoriya priblizheniya funktsii, Gostekhizdat, M., 1960

[8] Whitney H., “On bounded functions with bounded $n$-th differences”, Proc. Amer. Math. Soc., 10:3 (1959), 480–481 | DOI | MR | Zbl