Hyperbolic cross approximation in infinite dimensions

We give tight upper and lower bounds of the cardinality of the index sets of certain hyperbolic crosses which reflect mixed Sobolev–Korobov-type smoothness and mixed Sobolev-analytic-type smoothness in the infinite-dimensional case where specific summability properties of the smoothness indices are...

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Bibliographic Details
Main Author: Dinh Dũng , Michael Griebel
Format: Book Book chapter Dataset
Published: Journal of Complexity 2016
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Online Access:http://repository.vnu.edu.vn/handle/VNU_123/11116
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Institution: Vietnam National University, Hanoi