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  Volume 5, Issue 2, Article 26
 
Price and Haar Type Functions and Uniform Distribution of Sequences

    Authors: V. Grozdanov, S. Stoilova,  
    Keywords: Uniform distribution of sequences; Price and Haar type functions; Weyl criterion; Inequalities of LeVeque and Erdos-Turan; Formula of Koksma.  
    Date Received: 08/08/2003  
    Date Accepted: 10/12/2003  
    Subject Codes:

65C05; 11K38; 11K06.

 
    Editors: Neven Elezovic,  
 
    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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