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Note on the Discrepancy of Well-Distributed Sequences

โœ Scribed by Peter Schatte

Publisher
John Wiley and Sons
Year
1988
Tongue
English
Weight
179 KB
Volume
139
Category
Article
ISSN
0025-584X

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โœฆ Synopsis

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 results. I n the following we wish to complement the quantitative metric results of DRDIOTA/TICHY [l] in outstandmg cases.

Let P(t) be a weight function on [I, m), i.e., P(t) has a non-increasing derivative

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