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arXiv · 2412.14791

Average case tractability of multivariate approximation with Gevrey type kernels

Wanting Lu·Heping Wang
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Abstract

We consider multivariate approximation problems in the average case setting with a zero mean Gaussian measure whose covariance kernel is a periodic Gevrey kernel. We investigate various notions of algebraic tractability and exponential tractability, and obtain necessary and sufficient conditions in terms of the parameters of the problem.

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Wanting Lu, Heping Wang. 2024-12-19. Average case tractability of multivariate approximation with Gevrey type kernels. https://arxiv.org/abs/2412.14791

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