Weak and quasi-polynomial tractability of approximation of infinitely differentiable functions

Author:

Vybíral Jan

Funder

DFG Research Center Matheon “Mathematics for key technologies”

Publisher

Elsevier BV

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Statistics and Probability,Algebra and Number Theory,General Mathematics

Reference20 articles.

1. Quasi-polynomial tractability;Gnewuch;J. Complexity,2011

2. A. Hinrichs, E. Novak, M. Ullrich, H. Woźniakowski, The curse of dimensionality for numerical integration of smooth functions, 2012, Preprint. Available at: http://arxiv.org/abs/1211.0871.

3. A. Hinrichs, E. Novak, M. Ullrich, H. Woźniakowski, The curse of dimensionality for numerical integration of smooth functions II, 2013, Preprint.

4. Approximation of infinitely differentiable multivariate functions is not strongly tractable;Huang;J. Complexity,2007

5. The best accuracy of reconstruction of finitely smooth functions from their values at a given number of points;Kudryavtsev;Izv. Math.,1998

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