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  Volume 4, Issue 1, Article 3
 
Power-Monotone Sequences and Integrability of Trigonometric Series

    Authors: Jozsef Nemeth,  
    Keywords: Trigonometrical series, Integrability, Quasi power-monotone sequence.  
    Date Received: 13/06/02  
    Date Accepted: 20/09/02  
    Subject Codes:

42A32

 
    Editors: Alexander G. Babenko,  
 
    Abstract:

The theorem proved in this paper is a generalization of some results, concerning integrability of trigonometric series, due to R.P. Boas, L. Leindler, etc. This result can be considered as an example showing the utility of the notion of power-monotone sequences.

         
       
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