47 citations · 331 across the 35 of their papers we have counts for
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math.NA2010★ 17 cited
The Curse of Dimensionality for Monotone and Convex Functions of Many Variables
Aicke Hinrichs, Erich Novak, Henryk Woźniakowski
We study the integration and approximation problems for monotone and convex bounded functions that depend on variables, where can be arbitrarily large. We consider the wors…
math.NA2010★ 15 cited
On lower bounds for the L_2-discrepancy
Aicke Hinrichs, Lev Markhasin
The L_2-discrepancy measures the irregularity of the distribution of a finite point set. In this note we prove lower bounds for the L_2 discrepancy of arbitrary N-point sets. Our m…