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arXiv · 1808.01470

A note about EC-$(s,t)$-weak tractability of multivariate approximation with analytic Korobov kernels

Heping Wang
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Abstract

This note is devoted to discussing multivariate approximation of continuous functions on $[0,1]^d$ with analytic Korobov kernels in the worst and average case settings. We only consider algorithms that use finitely many evaluations of arbitrary continuous linear functionals. We study EC-$(s, t)$-weak tractability under the absolute or normalized error criterion, and obtain necessary and sufficient conditions for $0<\min(s,t)<1$ and $\max(s,t)\le 1$ in the worst case setting and for $s,t>0$ in the average case setting.

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Heping Wang. 2018-08-04. A note about EC-$(s,t)$-weak tractability of multivariate approximation with analytic Korobov kernels. https://arxiv.org/abs/1808.01470

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