A metric discrepancy estimate for a real sequence
A general metrical result of discrepancy estimate related to uniform distribution is proved in this paper. It has been proven by J.W.S Cassel and P.Erdos \& Koksma in [2] under a general hypothesis of $(g_n (x))_{n = 1}^\infty$ that for every $\varepsilon > 0$, $$D(N,x) = O(N^{\frac{{ - 1}}...
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| Format: | Article |
| Language: | English |
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2006
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| Online Access: | http://eprints.utm.my/60/1/A_Metric_Discrepancy_Estimate_for_A_Real_Sequence.pdf |