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

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Publication:6305022

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DOI10.1016/J.JCO.2019.06.003arXiv1808.01470MaRDI QIDQ6305022

Author name not available (Why is that?)

Publication date: 4 August 2018

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 < m i n (s, t) < 1

and

m a x (s, t) l e 1

in the worst case setting and for

s, t > 0

in the average case setting.

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