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    STUDIA MATHEMATICA - Issue no. 1 / 2014  
         
  Article:   ON SOME INTEGRAL INEQUALITIES FOR TWICE DIFFERENTIABLE MAPPINGS.

Authors:  .
 
       
         
  Abstract:   In this paper, we establish several new inequalities for some twice differentiable mappings. Then, we apply these inequalities to obtain new midpoint, trapezoid and perturbed trapezoid rules. Finally, some applications for special means of real numbers are provided.

Mathematics Subject Classification (2010): 26D15, 41A55, 26D10.

Keywords: Convex function, Ostrowski inequality and special means.
 
         
     
         
         
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