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          | Additions to the Telyakovskii's class $S$ |  |   
          
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          |  | Authors: | Laszlo Leindler, |  |   
          
          |  | Keywords: | Cosine series, Fourier series, Inequalities, Classes of number sequences. |  |   
          
          |  | Date Received: | 17/03/03 |  |   
          
          |  | Date Accepted: | 07/04/03 |  |   
          
          |  | Subject Codes: | 26D15, 42A20. |  |   
         
          |  | Editors: | Hüseyin Bor, |  |   
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          |  | Abstract: |  A sufficient condition of new type is given which implies that certain
sequences belong to the Telyakovskii's class S. Furthermore
 the relations of two subclasses of the class S are analyzed.;
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