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The Weighted Discrepancies of Some Slowly Increasing Sequences

โœ Scribed by Yukio Ohkubo

Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
450 KB
Volume
174
Category
Article
ISSN
0025-584X

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โœฆ Synopsis

Abstract

In this note we give upper bounds of the weighted discrepancy of the sequence (f (n)), when fโ€ณ(x) satisfies some conditions. Furthermore, by applying the generalized van der Corput's inequality, we give upper bounds of the weighted discrepancy of the sequence (f(n)), when some conditions about f (x) is satisfied, where q is any positive integer.

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