论文标题
在Korobov Point集的固定音量差异上
On the fixed volume discrepancy of the Korobov point sets
论文作者
论文摘要
本文致力于研究单位立方体中的Korobov点设置的差异型特征 - 固定体积差异。最近观察到，这种新特征使我们能够从数值整合结果中获得最佳的分散率。这种观察促使我们彻底研究了这种新版本的差异，这本身似乎很有趣。本文扩展了V. Temlyakov和M. Ullrich在斐波那契点集的固定体积差异上的最新结果。
This paper is devoted to the study of a discrepancy-type characteristic -- the fixed volume discrepancy -- of the Korobov point sets in the unit cube. It was observed recently that this new characteristic allows us to obtain optimal rate of dispersion from numerical integration results. This observation motivates us to thoroughly study this new version of discrepancy, which seems to be interesting by itself. This paper extends recent results by V. Temlyakov and M. Ullrich on the fixed volume discrepancy of the Fibonacci point sets.
