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Matematicheskie Zametki, 2009, Volume 85, Issue 3, Pages 433–439
DOI: https://doi.org/10.4213/mzm4043 (Mi mzm4043) 		 
This article is cited in 1 scientific paper (total 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
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DOI: https://doi.org/10.4213/mzm4043
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.
Received: 17.09.2007
English version:
Mathematical Notes, 2009, Volume 85, Issue 3, Pages 420–425
DOI: https://doi.org/10.1134/S0001434609030122
Bibliographic databases:
UDC: 519.68+519.712
Language: Russian
Citation: M. A. Romanov, “On the Error of Multidimensional Quadrature Formulas for Certain Classes of Functions”, Mat. Zametki, 85:3 (2009), 433–439; Math. Notes, 85:3 (2009), 420–425
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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