JIPAM

On an Open Problem of Bai-Ni Guo and Feng Qi  
 
  Authors: Zivorad Tomovski, Kostadin Trencevski,  
  Keywords: Integral expression, Inequality, Mathieu's series, gamma function, Fourier transform inequality.  
  Date Received: 17/09/02  
  Date Accepted: 28/03/03  
  Subject Codes:

26D15,33E20,40A30

  
  Editors: Feng Qi,  
 
  Abstract:

In this paper, an open problem posed respectively by B.-N. Guo and F. Qi in [4,6,7] is partially solved: an integral expression and a new double inequality of the generalized Mathieu's series $ % sum_{n=1}^{infty}{frac{2n}{(n^2+a^2)^{p+1}}}$ are established by using some properties of gamma function and Fourier transform inequalities, where $ % a>0$, $ pin mathbb{N}$.;


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