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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1961, Volume 1, Number 1, Pages 64–77
(Mi zvmmf8024)
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This article is cited in 6 scientific papers (total in 7 papers)
An estimate of the mean remainder term in quadrature formulae
N. S. Bakhvalov Moscow
Abstract:
The author finds the mathematical expectation of the error in numerical quadrature for a certain class of function (those whose first p derivatives are bounded and whose pth derivatives satisfy the Hцlder condition with index $\lambda$). Both one-dimensional and multi-dimensional integrals are considered.
Received: 31.10.1960
Citation:
N. S. Bakhvalov, “An estimate of the mean remainder term in quadrature formulae”, Zh. Vychisl. Mat. Mat. Fiz., 1:1 (1961), 64–77; U.S.S.R. Comput. Math. Math. Phys., 1:1 (1962), 68–82
Linking options:
https://www.mathnet.ru/eng/zvmmf8024 https://www.mathnet.ru/eng/zvmmf/v1/i1/p64
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