Geodesic
Minimal projections and largest simplices
Modelirovanie i analiz informacionnyh sistem, Tome 14 (2007) no. 1, pp. 3-10

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

It is proved that the minimal norm $\theta_n$ of a projection in linear interpolation on the $n$-dimensional cube $Q_n=[0,1]^n$ satisfies the condition $\theta_n=O(n^{1/2})$, $n\in\mathrm{N}$. With the previous results of the author it means that $\theta_n\approx n^{1/2}$. The upper estimates are provided by the projection with knots of interpolation in vertices of а largest simplex in $Q_n$. 
@article{MAIS_2007_14_1_a0,
     author = {M. V. Nevskij},
     title = {Minimal projections and largest simplices},
     journal = {Modelirovanie i analiz informacionnyh sistem},
     pages = {3--10},
     publisher = {mathdoc},
     volume = {14},
     number = {1},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2007_14_1_a0/}
}
TY  - JOUR
AU  - M. V. Nevskij
TI  - Minimal projections and largest simplices
JO  - Modelirovanie i analiz informacionnyh sistem
PY  - 2007
SP  - 3
EP  - 10
VL  - 14
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MAIS_2007_14_1_a0/
LA  - ru
ID  - MAIS_2007_14_1_a0
ER  - 
%0 Journal Article
%A M. V. Nevskij
%T Minimal projections and largest simplices
%J Modelirovanie i analiz informacionnyh sistem
%D 2007
%P 3-10
%V 14
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MAIS_2007_14_1_a0/
%G ru
%F MAIS_2007_14_1_a0
M. V. Nevskij. Minimal projections and largest simplices. Modelirovanie i analiz informacionnyh sistem, Tome 14 (2007) no. 1, pp. 3-10. http://geodesic.mathdoc.fr/item/MAIS_2007_14_1_a0/