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

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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, Hölder's inequality.
Keywords: space of periodic functions, Korobov grid, Frolov grid 
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/
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