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  Volume 10, Issue 1, Article 12
 
Some Inequalities for the $q$-Digamma Function
    Authors: Toufik Mansour, Armend Sh. Shabani,  
    Keywords: $q$-digamma function, inequalities.  
    Date Received: 17/06/08  
    Date Accepted: 21/02/09  
    Subject Codes:

33D05

  
    Editors: Andrea Laforgia,  
 
    Abstract:

For the $ q$-digamma function and it's derivatives are established the functional inequalities of the types:

$displaystyle f^2(xcdot y)lessgtr f(x)cdot f(y),$
$displaystyle f(x+y)lessgtr f(x)+f(y).$

         
       
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