Please use this identifier to cite or link to this item:
http://hdl.handle.net/20.500.12188/20062
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Dimitrievska Ristovska, Vesna | en_US |
dc.contributor.author | Grozdanov, Vassil | en_US |
dc.date.accessioned | 2022-06-30T09:13:45Z | - |
dc.date.available | 2022-06-30T09:13:45Z | - |
dc.date.issued | 2006 | - |
dc.identifier.uri | http://hdl.handle.net/20.500.12188/20062 | - |
dc.description.abstract | In the present paper the authors introduce a new quantitative measure for uniform distribution of sequences in [0, 1)s , the so-called “weighted diaphony.” The definition of the weighted diaphony is based on using the trigonometric functional system. At a special choice of the parameters α and γ on which the weighted diaphony depends, the “classical” diaphony introduced by Zinterhof is obtained. It is shown that the computing complexity of the weighted diaphony of an arbitrary net composed of N points in [0, 1)s is O(S.N2 ). Relationship between the worst-case error of the quasi-Monte Carlo integration in a class of weighted Hilbert space and the weighted diaphony is obtained. | en_US |
dc.relation.ispartof | COMPTES RENDUS-ACADEMIE BULGARE DES SCIENCES | en_US |
dc.subject | weighted diaphony, diaphony, worst-case error | en_US |
dc.title | The weighted diaphony | en_US |
dc.type | Article | en_US |
item.grantfulltext | open | - |
item.fulltext | With Fulltext | - |
Appears in Collections: | Faculty of Computer Science and Engineering: Journal Articles |
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6_02-05.pdf | 159.85 kB | Adobe PDF | View/Open |
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