Geodesic
On the Error of Multidimensional Quadrature Formulas for Certain Classes of Functions
Matematičeskie zametki, Tome 85 (2009) no. 3, pp. 433-439 Cet article a éte moissonné depuis la source Math-Net.Ru

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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 
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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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