Expected uniform integration approximation under general equal measure partition
Expected uniform integration approximation under general equal measure partition
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Xian, Jun and Xu, Xiaoda
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Ithaca: Cornell University Library, arXiv.org
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English
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Ithaca: Cornell University Library, arXiv.org
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In this paper, we study bounds of expected \(L_2-\)discrepancy to give mean square error of uniform integration approximation for functions in Sobolev space \(\mathcal{H}^{\mathbf{1}}(K)\), where \(\mathcal{H}\) is a reproducing Hilbert space with kernel \(K\). Better order \(O(N^{-1-\frac{1}{d}})\) of approximation error is obtained, comparing wit...
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Expected uniform integration approximation under general equal measure partition
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TN_cdi_proquest_journals_2579212231
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2579212231
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E-ISSN
2331-8422
