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Sibirskii Zhurnal Industrial'noi Matematiki, 2005, Volume 8, Number 1, Pages 50–52
(Mi sjim317)
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This article is cited in 1 scientific paper (total in 1 paper)
On optimal quadrature formulas
A. V. Gavrilov Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences
Abstract:
Quadrature formulas with free nodes which are optimal in the norm of a Banach space are studied. It is shown that it is impossible with some reasonable assumptions to increase the accuracy of such a formula by defining the partial derivatives of the integrable function at the nodes.
Received: 07.07.2004
Citation:
A. V. Gavrilov, “On optimal quadrature formulas”, Sib. Zh. Ind. Mat., 8:1 (2005), 50–52; J. Appl. Industr. Math., 1:2 (2007), 190–192
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https://www.mathnet.ru/eng/sjim317 https://www.mathnet.ru/eng/sjim/v8/i1/p50
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Abstract page: | 223 | Full-text PDF : | 106 | References: | 23 |
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