关于Korobov点集的固定体积差
On the fixed volume discrepancy of the Korobov point sets
摘要：
本文研究了单位立方体中Korobov点集的一个离散型特征--固定体积离散。最近观察到，这种新的特性使我们能够从数值积分结果中获得最佳的色散率。这一观察促使我们深入研究这个新版本的差异，它本身似乎很有趣。本文推广了V. Temlyakov和M. Ullrich关于斐波那契点集的固定体积差异。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
