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  Volume 7, Issue 3, Article 112
 
An Ostrowski Type Inequality for $p-$norms

    Authors: A. Rafiq, Nazir Ahmad Mir,  
    Keywords: Ostrowski inequality, Numerical integration, Special means.  
    Date Received: 22/02/05  
    Date Accepted: 04/05/05  
    Subject Codes:

26D15.

 
    Editors: Anthony Sofo,  
 
    Abstract:

In this paper, we establish general form of an inequality of Ostrowski type for twice differentiable mappings in terms of $ L_{p}-$norm, with first derivative absolutely continuous. The integral inequality of similar type already pointed out in literature is a special case of ours. The already established inequality contains a mistake and as a result incorrect consequences and applications. The corrected version of the inequality is pointed out and the inequality is also applied to special means and numerical integration.

         
       
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