On the diaphony of one class of one-dimensional sequences

Vassil St. Grozdanov

International Journal of Mathematics and Mathematical Sciences, 1996, vol. 19, 1-10

Abstract:

In the present paper, we consider a problem of distribution of sequences in the interval [ 0 , 1 ) , the so-called ' P r -sequences' We obtain the best possible order O ( N − 1 ( log N ) 1 / 2 ) for the diaphony of such P r -sequences. For the symmetric sequences obtained by symmetrization of P r -sequences, we get also the best possible order O ( N − 1 ( log N ) 1 / 2 ) of the quadratic discrepancy

Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:843712

DOI: 10.1155/S016117129600018X

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