A lower bound for the b-adic diaphony
The b-adic diaphony is a quantitative measure for the irregularity of distribution of a point set in the s-dimensional unit cube. In this note we show that the b-adic diaphony (for prime b) of a point set consisting of N points in the s-dimensional unit cube is always at least of order (log N)^{(s−1...
Main Authors: | Ligia L. Cristea, Friedrich Pillichshammer |
---|---|
Format: | Article |
Language: | English |
Published: |
Sapienza Università Editrice
2007-01-01
|
Series: | Rendiconti di Matematica e delle Sue Applicazioni |
Subjects: | |
Online Access: | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2007(2)/147-153.pdf |
Similar Items
-
The b-adic diaphony
by: Vassil S. Grozdanov, et al.
Published: (2002-01-01) -
Review on Some Sequence Spaces of p-adic Numbers
by: Orhan Tuğ, et al.
Published: (2017-09-01) -
$p$-adic Dual Shearlet Frames
by: Mahdieh Fatemidokht, et al.
Published: (2019-10-01) -
P-adic analysis compared with real /
by: 376124 Katok, Svetlana
Published: (2007) -
A course in P-adic analysis /
by: 235456 Robert, Alain M.
Published: (2000)