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

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