Geodesic
Construction of optimal grid interpolation formulas in Sobolev space $\widetilde{L_2^m}(H)$ of periodic function of $n$ variables by Sobolev method
Ufa mathematical journal, Tome 5 (2013) no. 1, pp. 90-101

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

In the present work we consider the problem of constructing optimal grid interpolation formulas in the space $\widetilde{L_2^m}(H)$ of periodic function of $n$ variables. We find the coefficients of grid interpolation formulas.
Keywords: Sobolev space, properties of the discrete analogue of the operator $\Delta^m$
Mots-clés : optimal interpolation formula, optimal coefficients. 
@article{UFA_2013_5_1_a7,
     author = {N. Kh. Mamatova and A. R. Hayotov and Kh. M. Shadimetov},
     title = {Construction of optimal grid interpolation formulas in {Sobolev} space $\widetilde{L_2^m}(H)$ of periodic function of $n$ variables by {Sobolev} method},
     journal = {Ufa mathematical journal},
     pages = {90--101},
     publisher = {mathdoc},
     volume = {5},
     number = {1},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UFA_2013_5_1_a7/}
}
TY  - JOUR
AU  - N. Kh. Mamatova
AU  - A. R. Hayotov
AU  - Kh. M. Shadimetov
TI  - Construction of optimal grid interpolation formulas in Sobolev space $\widetilde{L_2^m}(H)$ of periodic function of $n$ variables by Sobolev method
JO  - Ufa mathematical journal
PY  - 2013
SP  - 90
EP  - 101
VL  - 5
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/UFA_2013_5_1_a7/
LA  - en
ID  - UFA_2013_5_1_a7
ER  - 
%0 Journal Article
%A N. Kh. Mamatova
%A A. R. Hayotov
%A Kh. M. Shadimetov
%T Construction of optimal grid interpolation formulas in Sobolev space $\widetilde{L_2^m}(H)$ of periodic function of $n$ variables by Sobolev method
%J Ufa mathematical journal
%D 2013
%P 90-101
%V 5
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/UFA_2013_5_1_a7/
%G en
%F UFA_2013_5_1_a7
N. Kh. Mamatova; A. R. Hayotov; Kh. M. Shadimetov. Construction of optimal grid interpolation formulas in Sobolev space $\widetilde{L_2^m}(H)$ of periodic function of $n$ variables by Sobolev method. Ufa mathematical journal, Tome 5 (2013) no. 1, pp. 90-101. http://geodesic.mathdoc.fr/item/UFA_2013_5_1_a7/