Tractability of Integration in Non-periodic and Periodic Weighted Tensor Product Hilbert Spaces

Abstract

We study strong tractability and tractability of multivariate integration in the worst case setting. This problem is considered in weighted tensor product reproducing kernel Hilbert spaces. We analyze three variants of the classical Sobolev space of non-periodic and periodic functions whose first mixed derivatives are square integrable. We obtain necessary… (More)
DOI: 10.1006/jcom.2001.0626

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