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Physical Sciences and Engineering Mathematics Analysis

Product rules are optimal for numerical integration in classical smoothness spaces

Article ID Journal Published Year Pages File Type
5773871 Journal of Complexity 2017 11 Pages PDF
Abstract
We also provide lower bounds for integration defined over an arbitrary open domain of volume one. We briefly discuss how lower bounds for integration may be applied for other problems such as multivariate approximation and optimization.
Keywords
IntegrationOptimization
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
Product rules are optimal for numerical integration in classical smoothness spaces
Authors
Aicke Hinrichs, Erich Novak, Mario Ullrich, Henryk Woźniakowski,
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