Discrepancy operators and numerical integration on compact groups (Q1346759)
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scientific article; zbMATH DE number 742700
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Discrepancy operators and numerical integration on compact groups |
scientific article; zbMATH DE number 742700 |
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Discrepancy operators and numerical integration on compact groups (English)
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14 September 1995
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\textit{W. Fleischer} [Anz. Österr. Akad. Wiss., Math.-Naturwiss. Kl., 127-131 (1981; Zbl 0499.47016)] has introduced so-called discrepancy operators for defining a general notion of discrepancy in compact spaces. In the present article this general concept is used to define a discrepancy for sequences in compact groups. The relations of this discrepancy to the classical \(L^ 2\)-discrepancy is discussed. Finally, a Koksma-Hlawka-type inequality is proved for functions in a weighted \(L^ 2\)-space.
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discrepancy operators
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sequences in compact groups
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\(L^ 2\)-discrepancy
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Koksma-Hlawka-type inequality
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weighted \(L^ 2\)-space
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0.87920624
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0.8590485
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0.8568778
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0.85575294
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