(1) Department of Mathematics, Nanjing Normal University, Nanjing, 210097, P. R. China;(2) Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Academia Sinica, Beijing, 100080, P. R. China
Abstract:
Abstract
In this note we construct certain sequences of finite point sets in 0, 1)s(s ≥ 1) and give the upper bounds of their discrepancy. Furthermore we prove that these sequences are uniformly distrbuted in
0, 1)s.
Supported by the National Natural Science Foundation of China and the “333 Project” Foundation of Jiangsu Province of China