Haar type functions and uniform distribution of sequences (Q2762974)
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scientific article; zbMATH DE number 1689823
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Haar type functions and uniform distribution of sequences |
scientific article; zbMATH DE number 1689823 |
Statements
16 January 2002
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uniform distribution of sequences
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Haar type functions
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Weyl criterion
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discrepancy
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LeVeque's inequality
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0.93039036
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0.91654766
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0.91204035
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0.8923052
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Haar type functions and uniform distribution of sequences (English)
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The authors use two classes of Haar type functions to obtain new necessary and sufficient conditions for uniform distribution of sequences. Weyl's criterion is obtained in terms of Haar type functions and modified integrals of these functions. LeVeque's inequality is shown in terms of the Haar type functions.NEWLINENEWLINE[Editorial remark: For an extended version, cf. JIPAM, J. Inequal. Pure Appl. Math. 5, No. 2, Paper No. 26, 17 p., electronic only (2004; Zbl 1126.11038).]
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