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  Volume 3, Issue 2, Article 29
 
Note on the Perturbed Trapezoid Inequality

    Authors: Xiao-liang Cheng, Jie Sun,  
    Keywords: Grüss inequality, Perturbed trapezoid inequality, Sharp bounds.  
    Date Received: 21/05/01  
    Date Accepted: 01/02/02  
    Subject Codes:

26D15,26D10

 
    Editors: Neil S. Barnett,  
 
    Abstract:

In this paper we utilize a variant of the Grüss inequality to obtain some new perturbed trapezoid inequalities. We improve the error bound of the trapezoid rule in numerical integration in some recent known results.

         
       
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