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  Volume 7, Issue 5, Article 192
 
A Sharp Inequality of Ostrowski-Grüss Type

    Authors: Zheng Liu,  
    Keywords: Ostrowski-Grüss type inequality, Grüss type inequality for Riemann-Stieltjes integrals, Lipschitzian type function, Sharp bound.  
    Date Received: 09/02/06  
    Date Accepted: 23/05/06  
    Subject Codes:

26D15.

 
    Editors: Jozsef Sandor,  
 
    Abstract:

The main purpose of this paper is to use a Grüss type inequality for Riemann-Stieltjes integrals to obtain a sharp integral inequality of Ostrowski-Grüss type for functions whose first derivatives are functions of Lipschitizian type and precisely characterize the functions for which equality holds.

         
       
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