JIPAM

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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