A note about EC-$(s,t)$-weak tractability of multivariate approximation with analytic Korobov kernels
Year: 2018
Type: preprint
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.
Source: arXiv (Cornell University)
Author: Wang, Heping
Institution: Capital Normal University
Language: English
Subfield: Numerical Analysis
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G8630104580
OpenAlex ID: W2886614977