The curse of dimensionality for the class of monotone functions and for the class of convex functions

Author:

Hinrichs Aicke,Novak Erich,Woźniakowski Henryk

Funder

DFG Heisenberg

DFG

National Science Foundation

Publisher

Elsevier BV

Subject

Applied Mathematics,General Mathematics,Numerical Analysis,Analysis

Reference9 articles.

1. Random volumes in the n-cube;Dyer,1990

2. A geometric inequality and the complexity of computing volume;Elekes;Discrete Comput. Geom.,1986

3. Widths and shape-preserving widths of sobolev-type classes of s-monotone functions;Gilewicz;J. Approx. Theory,2006

4. Quadrature formulas for multivariate convex functions;Katscher;J. Complexity,1996

5. Deterministic and Stochastic Error Bounds in Numerical Analysis;Novak,1988

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