JIPAM logo: Home Link
 
Home Editors Submissions Reviews Volumes RGMIA About Us
 

   
  Volume 7, Issue 5, Article 171
 
Inequalities in $q-$Fourier Analysis

    Authors: Lazhar Dhaouadi, Ahmed Fitouhi, J. El Kamel,  
    Keywords: Čebyšev functional, Grüss inequality, Bessel, Beta and Zeta function bounds.  
    Date Received: 17/04/06  
    Date Accepted: 28/07/06  
    Subject Codes:

Pri 26D15, 26D20; Sec 26D10.

 
    Editors: Hari M. Srivastava,  
 
    Abstract:

In this paper we introduce the q-Bessel Fourier transform, the q-Bessel translation operator and the q-convolution product. We prove that the q- heat semigroup is contractive and we establish the q-analogue of Babenko inequalities associated to the q-Bessel Fourier transform. With applications and finally we enunciate a q-Bessel version of the central limit theorem.

         
       
  Download Screen PDF
  Download Print PDF
  Send this article to a friend
  Print this page
 

      search [advanced search] copyright 2003 terms and conditions login