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Volume 5, Issue 2, Article 26 |
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Price and Haar Type Functions and Uniform Distribution of Sequences
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Authors: |
V. Grozdanov, S. Stoilova, |
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Keywords:
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Uniform distribution of sequences; Price and Haar type functions; Weyl criterion; Inequalities of LeVeque and Erdos-Turan; Formula of Koksma. |
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Date Received:
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08/08/2003 |
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Date Accepted:
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10/12/2003 |
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Subject Codes: |
65C05; 11K38; 11K06.
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Editors: |
Neven Elezovic, |
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Abstract: |
The Weyl criterion is shown in the terms of Price functions and Haar type functions. We define the so-called modified integrals of Price and Haar type functions and obtain the analogues of the criterion of Weyl, the inequalities of LeVeque and Erdos-Turan and the formula of Koksma in the terms of the modified integrals of Price and Haar type functions.
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