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On the Discrepancy of Well-Distributed Sequences

✍ Scribed by Peter Schatte


Publisher
John Wiley and Sons
Year
1988
Tongue
English
Weight
554 KB
Volume
136
Category
Article
ISSN
0025-584X

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The concept of well-hstribution with respect to weighted means was introduced for the interval [0, 1) by the author [4], [j], cf. also TICHY [7], [8] for a preparatory special case. Recently DRMOTA/TICHT [l] have generalized t h s concept to a compact metric space X. They have got first metric resul

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## Abstract In this note we give upper bounds of the weighted discrepancy of the sequence (__f__ (__n__)), when __f__β€³(__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_