Lower bounds for the integration error for multivariate functions with mixed smoothness and optimal Fibonacci cubature for functions on the square
We prove lower bounds for the error of optimal cubature formulae for d-variate functions from Besov spaces of mixed smoothness in the case , and , where is either the d-dimensional torus or the d-dimensional unit cube . In addition, we prove upper bounds for QMC integration on the Fibonacc...
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| Format: | Book Book chapter Dataset |
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Mathematische Nachrichten
2016
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| Online Access: | http://repository.vnu.edu.vn/handle/VNU_123/11183 |
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| Institution: | Vietnam National University, Hanoi |