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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 -th powers of the first (possibly shifted) natural numbers. With the help of this inequality we are able…
math.CO2008★ 6 cited
Construction of Minimal Bracketing Covers for Rectangles
Michael Gnewuch
We construct explicit -bracketing covers with minimal cardinality for the set system of (anchored) rectangles in the two dimensional unit cube. More precisely, the cardinality o…