This article is cited in 1 paper

On the Error of Multidimensional Quadrature Formulas for Certain Classes of Functions

M. A. Romanov

Institute for Applied Mathematics, Khabarovsk Division, Far-Eastern Branch of the Russian Academy of Sciences

Abstract: 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 $1<p<2$.

Keywords: optimal quadrature formula, space of periodic functions, Fourier coefficient, Korobov grid, Frolov grid, Hölder's inequality.

UDC: 519.68+519.712

Received: 17.09.2007

DOI: 10.4213/mzm4043

 English version: Mathematical Notes, 2009, 85:3, 420–425

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