Geodesic
On the Error of Multidimensional Quadrature Formulas for Certain Classes of Functions
Matematičeskie zametki, Tome 85 (2009) no. 3, pp. 433-439

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

We obtain regular (with respect to the power scale) estimates of the errors of multidimensional optimal quadrature formulas in spaces of periodic functions with constraints on Fourier coefficients in the $\ell_p$-norm for $1$.
Mots-clés : optimal quadrature formula, Fourier coefficient
Keywords: space of periodic functions, Korobov grid, Frolov grid, Hölder's inequality. 
@article{MZM_2009_85_3_a10,
     author = {M. A. Romanov},
     title = {On the {Error} of {Multidimensional} {Quadrature} {Formulas} for {Certain} {Classes} of {Functions}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {433--439},
     publisher = {mathdoc},
     volume = {85},
     number = {3},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2009_85_3_a10/}
}
TY  - JOUR
AU  - M. A. Romanov
TI  - On the Error of Multidimensional Quadrature Formulas for Certain Classes of Functions
JO  - Matematičeskie zametki
PY  - 2009
SP  - 433
EP  - 439
VL  - 85
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2009_85_3_a10/
LA  - ru
ID  - MZM_2009_85_3_a10
ER  - 
%0 Journal Article
%A M. A. Romanov
%T On the Error of Multidimensional Quadrature Formulas for Certain Classes of Functions
%J Matematičeskie zametki
%D 2009
%P 433-439
%V 85
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2009_85_3_a10/
%G ru
%F MZM_2009_85_3_a10
M. A. Romanov. On the Error of Multidimensional Quadrature Formulas for Certain Classes of Functions. Matematičeskie zametki, Tome 85 (2009) no. 3, pp. 433-439. http://geodesic.mathdoc.fr/item/MZM_2009_85_3_a10/