On the inequalities of Erdős-Turán and Berry-Esseen. II (Q912910)
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scientific article; zbMATH DE number 4146037
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the inequalities of Erdős-Turán and Berry-Esseen. II |
scientific article; zbMATH DE number 4146037 |
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On the inequalities of Erdős-Turán and Berry-Esseen. II (English)
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1989
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This is a continuation of the first part [ibid. 64, No.10, 381-384 (1988; Zbl 0669.10072)]. Erdős-Turán type estimates with respect to general distribution functions and improved constants are proved. In this second part of the paper several technical lemmas for the proof of the main results (stated in part I) are established.
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uniform distribution
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discrepancy
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closeness
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upper bounds
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supremum norm
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modulus of nonmonotonicity
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Erdős-Turán
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inequality
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Berry- Esseen inequality
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Erdős-Turán type estimates
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