Geometric estimates in the polynomial interpolation
Modelirovanie i analiz informacionnyh sistem, Tome 18 (2011) no. 1, pp. 142-148.

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

We prove some new inequalities for the norms of projections due to the polynomial interpolation of continuous functions of $n$ variables.
Keywords: functions of $n$ variables; polynomial interpolation; projection; norm; homothety.
@article{MAIS_2011_18_1_a12,
     author = {M. V. Nevskii},
     title = {Geometric estimates in the polynomial interpolation},
     journal = {Modelirovanie i analiz informacionnyh sistem},
     pages = {142--148},
     publisher = {mathdoc},
     volume = {18},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2011_18_1_a12/}
}
TY  - JOUR
AU  - M. V. Nevskii
TI  - Geometric estimates in the polynomial interpolation
JO  - Modelirovanie i analiz informacionnyh sistem
PY  - 2011
SP  - 142
EP  - 148
VL  - 18
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MAIS_2011_18_1_a12/
LA  - ru
ID  - MAIS_2011_18_1_a12
ER  - 
%0 Journal Article
%A M. V. Nevskii
%T Geometric estimates in the polynomial interpolation
%J Modelirovanie i analiz informacionnyh sistem
%D 2011
%P 142-148
%V 18
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MAIS_2011_18_1_a12/
%G ru
%F MAIS_2011_18_1_a12
M. V. Nevskii. Geometric estimates in the polynomial interpolation. Modelirovanie i analiz informacionnyh sistem, Tome 18 (2011) no. 1, pp. 142-148. http://geodesic.mathdoc.fr/item/MAIS_2011_18_1_a12/

[1] M. B. Nevskii, “Geometricheskie metody v zadache o minimalnom proektore”, Model. i analiz infopm. sistem, 13:2 (2006), 16–29

[2] M. B. Nevskii, “Neravenstva dlya norm interpolyatsionnykh proektorov”, Model. i analiz infopm. sistem, 15:3 (2008), 28–37

[3] M. B. Nevskii, “Ob odnom sootnoshenii dlya minimalnoi normy interpolyatsionnogo proektora”, Model. i analiz infopm. sistem, 16:1 (2009), 24–43

[4] M. B. Nevskii, “Ob odnom svoistve $n$-mernogo simpleksa”, Mat. zametki, 87:4 (2010), 580–593 | MR | Zbl

[5] S. Pashkovskii, Vychislitelnye primeneniya mnogochlenov i ryadov Chebysheva, Nauka, M., 1983, 384 pp. | MR