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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主要作者: Dinh Dũng, Tino Ullrich
格式: 圖書 Book chapter Dataset
出版: Mathematische Nachrichten 2016
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在線閱讀:http://repository.vnu.edu.vn/handle/VNU_123/11183
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