Lower bounds for the integration error for multivariate functions with mixed smoothness and optimal Fibonacci cubature for functions on the square

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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書目詳細資料
主要作者:	Dinh Dũng, Tino Ullrich
格式:	圖書 Book chapter Dataset
出版:	Mathematische Nachrichten 2016
主題:	Quasi-Monte-Carlo integration; Besov spaces of mixed smoothness; Fibonacci lattice; B-spline representations; Smolyak grids
在線閱讀:	http://repository.vnu.edu.vn/handle/VNU_123/11183
標簽:	添加標簽沒有標簽, 成為第一個標記此記錄!

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