Hendrik Pasing

most citedA Generalized Faulhaber Inequality, Improved Bracketing Covers, and Applications to Discrepancy

6 citations · 6 across the 1 of their papers we have counts for

collaborators

2 papers

math.CO2020★ 6 cited

A Generalized Faulhaber Inequality, Improved Bracketing Covers, and Applications to Discrepancy

Michael Gnewuch, Hendrik Pasing, Christian Weiß

We prove a generalized Faulhaber inequality to bound the sums of the $j$ -th powers of the first $n$ (possibly shifted) natural numbers. With the help of this inequality we are able…

math.NT2018

Improving a Constant in High-Dimensional Discrepancy Estimates

Hendrik Pasing, Christian Weiß

For all $s \geq 1$ and $N \geq 1$ there exist sequences $(z_{1}, \dots, z_{N})$ in $[0, 1]^{s}$ such that the star-discrepancy of these points can be bounded by $$D_N^*(z_1,\ldots,z_N) \le…