Back to Search
Start Over
On the discrepancy of sequences in the unit-interval
- Source :
- Indagationes Mathematicae. 27:546-558
- Publication Year :
- 2016
- Publisher :
- Elsevier BV, 2016.
-
Abstract
- In the first part of this paper we give an overview on known general bounds for the most important types of discrepancies of sequences in the unit-interval. It is pointed out that for all these types the van der Corput sequence, or a variant of it, provides an example with lowest possible order of discrepancy. In the second part we slightly improve the until now best known lower bound for the one-dimensional discrepancy constant with respect to extreme discrepancy given by R. Bejian in 1982.
- Subjects :
- General Mathematics
010102 general mathematics
010103 numerical & computational mathematics
01 natural sciences
Upper and lower bounds
Combinatorics
Discrepancy function
Van der Corput sequence
Order (group theory)
0101 mathematics
Halton sequence
Constant (mathematics)
Unit interval
Mathematics
Subjects
Details
- ISSN :
- 00193577
- Volume :
- 27
- Database :
- OpenAIRE
- Journal :
- Indagationes Mathematicae
- Accession number :
- edsair.doi...........5997823fcb6004e2d45aa45b84b07967