THE WEIGHTED DISCREPANCIES OF SOME SLOWLY INCREASING SEQUENCES

Authors
OHKUBO Y
Citation
Y. Ohkubo, THE WEIGHTED DISCREPANCIES OF SOME SLOWLY INCREASING SEQUENCES, Mathematische Nachrichten, 174, 1995, pp. 239-251
Citations number
16
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Mathematische Nachrichten → ACNP
ISSN journal
0025584X
Volume
174
Year of publication
1995
Pages
239 - 251
Database
ISI
SICI code
0025-584X(1995)174:<239:TWDOSS>2.0.ZU;2-6
Abstract
In this note we give upper bounds of the weighted discrepancy of the s equence (f(n)), when f ''(x) satisfies some conditions. Furthermore, b y applying the generalized van der Corput's inequality, we give upper bounds of the weighted discrepancy of the sequence (f(n)), when some c onditions about f((q+2))(x) is satisfied, where q is any positive inte ger.