Geodesic
An application of tensor products of functionals in problems of numerical integration
Izvestiya. Mathematics , Tome 73 (2009) no. 2, pp. 393-434

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We introduce a new notion of tensor product of functionals and apply it to problems of numerical integration. We find the exact orders of the errors arising on various classes of functions, some of which are known and some are new.
Keywords: tensor products of functionals, numerical integration, Smolyak quadrature formulae, discrepancy, Korobov grid, number-theoretic methods, theory of divisors, Chebyshev system, recovery from inexact information. 
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     title = {An application of tensor products of functionals in problems of numerical integration},
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N. Temirgaliev; S. S. Kudaibergenov; A. A. Shomanova. An application of tensor products of functionals in problems of numerical integration. Izvestiya. Mathematics , Tome 73 (2009) no. 2, pp. 393-434. http://geodesic.mathdoc.fr/item/IM2_2009_73_2_a6/