Geodesic
About approximation multinominals, orthogonal on any grids
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 8 (2008) no. 1, pp. 25-31 
A. A. Nurmagomedov. About approximation multinominals, orthogonal on any grids. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 8 (2008) no. 1, pp. 25-31. http://geodesic.mathdoc.fr/item/ISU_2008_8_1_a4/
@article{ISU_2008_8_1_a4,
     author = {A. A. Nurmagomedov},
     title = {About approximation multinominals, orthogonal on any grids},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
     pages = {25--31},
     year = {2008},
     volume = {8},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ISU_2008_8_1_a4/}
}
TY  - JOUR
AU  - A. A. Nurmagomedov
TI  - About approximation multinominals, orthogonal on any grids
JO  - Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
PY  - 2008
SP  - 25
EP  - 31
VL  - 8
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/ISU_2008_8_1_a4/
LA  - ru
ID  - ISU_2008_8_1_a4
ER  - 
%0 Journal Article
%A A. A. Nurmagomedov
%T About approximation multinominals, orthogonal on any grids
%J Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
%D 2008
%P 25-31
%V 8
%N 1
%U http://geodesic.mathdoc.fr/item/ISU_2008_8_1_a4/
%G ru
%F ISU_2008_8_1_a4

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

In this work are investigated approximation properties of multinominals $\hat p_n(x)$, orthogonal with weight $\Delta t_j$ on the any grids consisting of final number of points of a piece $[-1,1]$. Namely the approximation formula, in which is established at increase $n$ together with $N$, approximation behaviour of these multinominals close to approximation behaviour of multinominals Lasiandra.

[1] Daugavet I. K., Rafalson C. Z., “O nekotorykh neravenstvakh dlya algebraicheskikh mnogochlenov”, Vestnik Leningr. un-ta, 19 (1974), 18–24 | MR | Zbl

[2] Sege G., Ortogonalnye mnogochleny, Fizmatgiz, M., 1962

[3] Suetin P. K., Klassicheskie ortogonalnye mnogochleny, Nauka, M., 1979, 244–271 pp. | MR | Zbl

[4] Konyagin C. V., “O neravenstve V. A. Markova dlya mnogochlenov v metrike $L$”, Trudy Mat. in-ta AN SSSR, 145, 1980, 117–125 | MR | Zbl

[5] Sharapudinov I. I., Smeshannye ryady po ortogonalnym polinomam, Izd-vo DNTs, Makhachkala, 2004, 35–36 pp.