Translations of nets and relationship between supreme and \(L^ \kappa\)-discrepancies (Q1912674)
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scientific article; zbMATH DE number 878111
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Translations of nets and relationship between supreme and \(L^ \kappa\)-discrepancies |
scientific article; zbMATH DE number 878111 |
Statements
Translations of nets and relationship between supreme and \(L^ \kappa\)-discrepancies (English)
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13 May 1996
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In the terminology of the author, a net is a finite weighted set of points in the \(s\)-dimensional unit cube. The author proves that for all \(\kappa\geq 1\) the supremum of the \(L^\kappa\)-discrepancy of all nets translated modulo the unit cube coincides up to a multiplicative constant with the supreme discrepancy.
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net
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unit cube
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supremum of the \(L^ \kappa\)-discrepancy
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supreme discrepancy
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0.81350607
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0.80831546
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0.8048209
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0.8047227
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0.80284816
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0.8023668
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