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  Volume 9, Issue 3, Article 64
 
Bounds for some Perturbed Čebyšev Functionals
    Authors: Sever S. Dragomir,  
    Keywords: Čebyšev, Grüss type inequality, Integral inequalities, Lebesgue $p-$norms.  
    Date Received: 20/05/08  
    Date Accepted: 17/08/08  
    Subject Codes:

26D15, 26D10.

  
    Editors: Ram N. Mohapatra,  
 
    Abstract:

Bounds for the perturbed Cebyšev functionals $ Cleft( f,gight) -mu Cleft( e,gight) $ and $ Cleft( f,gight) -mu Cleft( e,gight) -<br />u Cleft( f,eight) $ when $ mu ,<br />u in mathbb{R}$ and $ e$ is the identity function on the interval $ left[ a,bight] ,$ are given. Applications for some Grüss' type inequalities are also provided.

         
       
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