A metric discrepancy estimate for a real sequence

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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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Bibliographic Details
Main Author:	Kamarul Haili, Hailiza
Format:	Article
Language:	English
Published:	2006
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/60/ http://eprints.utm.my/60/1/A_Metric_Discrepancy_Estimate_for_A_Real_Sequence.pdf

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