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}}{2...

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Bibliographic Details
Main Author: Kamarul Haili, Hailiza (Author)
Format: Article
Language:English
Published: 2006-01.
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