JIPAM

A Bound for Certain Bibasic Sums and Applications  
 
  Authors: Mingjin Wang, Hongshun Ruan,  
  Keywords: Basic hypergeometric function; $q$-binomial coefficient; Euler formula; $q$-Gauss sum; Grüss inequality.  
  Date Received: 28/06/07  
  Date Accepted: 15/05/09  
  Subject Codes:

Pri: 26D15; Sec: 33D15; 33D65.

  
  Editors: Sever S. Dragomir,  
 
  Abstract:

In this paper, we use the terminating case of the Euler formula, the limiting case of the q-Gauss sum and the Grüss inequality to derive a bound for certain bibasic sums. Applications of the inequality are also given.;


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