Optimal Order of Convergence and (In-) Tractability of Multivariate Approximation of Smooth Functions
نویسندگان
چکیده
We study the approximation problem for C∞ functions f : [0, 1] → R with respect to a Wm p -norm. The optimal order of convergence is infinite, hence excellent, but the problem is still intractable for m ≥ 1. This means that the order of convergence supplies incomplete information concerning the computational difficulty of a problem. For m = 0 and p = 2, we prove that the problem is not polynomially tractable, but weakly tractable.
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تاریخ انتشار 2008