On the diaphony of one class of one-dimensional sequences
In the present paper, we consider a problem of distribution of sequences in the interval [0,1), the so-called 'Pr-sequences' We obtain the best possible order O(N−1(logN)1/2) for the diaphony of such Pr-sequences. For the symmetric sequences obtained by symmetrization of Pr-sequences, we g...
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Hindawi Limited
1996-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S016117129600018X |
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doaj-5906731cc0b04317ad884b205fad9eec2020-11-24T23:13:03ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251996-01-0119111512410.1155/S016117129600018XOn the diaphony of one class of one-dimensional sequencesVassil St. Grozdanov0Department of Mathematics, University of Blagoevgrad, Blagoevgrad 2700, BulgariaIn the present paper, we consider a problem of distribution of sequences in the interval [0,1), the so-called 'Pr-sequences' We obtain the best possible order O(N−1(logN)1/2) for the diaphony of such Pr-sequences. For the symmetric sequences obtained by symmetrization of Pr-sequences, we get also the best possible order O(N−1(logN)1/2) of the quadratic discrepancyhttp://dx.doi.org/10.1155/S016117129600018Xdistribution of sequencesquadratic discrepancy and Pr-sequences. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Vassil St. Grozdanov |
| spellingShingle |
Vassil St. Grozdanov On the diaphony of one class of one-dimensional sequences International Journal of Mathematics and Mathematical Sciences distribution of sequences quadratic discrepancy and Pr-sequences. |
| author_facet |
Vassil St. Grozdanov |
| author_sort |
Vassil St. Grozdanov |
| title |
On the diaphony of one class of one-dimensional sequences |
| title_short |
On the diaphony of one class of one-dimensional sequences |
| title_full |
On the diaphony of one class of one-dimensional sequences |
| title_fullStr |
On the diaphony of one class of one-dimensional sequences |
| title_full_unstemmed |
On the diaphony of one class of one-dimensional sequences |
| title_sort |
on the diaphony of one class of one-dimensional sequences |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1996-01-01 |
| description |
In the present paper, we consider a problem of distribution of sequences in the interval [0,1), the so-called 'Pr-sequences' We obtain the best possible order O(N−1(logN)1/2) for the diaphony of such Pr-sequences. For the symmetric sequences obtained by symmetrization of Pr-sequences, we get also the best possible order O(N−1(logN)1/2) of the quadratic discrepancy |
| topic |
distribution of sequences quadratic discrepancy and Pr-sequences. |
| url |
http://dx.doi.org/10.1155/S016117129600018X |
| work_keys_str_mv |
AT vassilstgrozdanov onthediaphonyofoneclassofonedimensionalsequences |
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