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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| Format: | Article |
| Language: | English |
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Wiley
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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| _version_ | 1832559832056463360 |
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| author | Vassil St. Grozdanov |
| author_facet | Vassil St. Grozdanov |
| author_sort | Vassil St. Grozdanov |
| collection | DOAJ |
| 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 |
| format | Article |
| id | doaj-art-5906731cc0b04317ad884b205fad9eec |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1996-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-5906731cc0b04317ad884b205fad9eec2025-02-03T01:29:09ZengWileyInternational 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. |
| 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. |
| title | 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_short | On the diaphony of one class of one-dimensional sequences |
| title_sort | on the diaphony of one class of one dimensional sequences |
| topic | distribution of sequences quadratic discrepancy and Pr-sequences. |
| url | http://dx.doi.org/10.1155/S016117129600018X |
| work_keys_str_mv | AT vassilstgrozdanov onthediaphonyofoneclassofonedimensionalsequences |