JIPAM

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.;


This article was printed from JIPAM
http://jipam.vu.edu.au

The URL for this article is:
http://jipam.vu.edu.au/article.php?sid=386