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Some Integral Inequalities Involving Taylor's Remainder. I  
 
  Authors: Hillel Gauchman,  
  Keywords: Taylor's remainder, Steffensen's inequality, Iyengar's inequality, Hermite-Hadamard's inequality.  
  Date Received: 17/09/01  
  Date Accepted: 23/01/02  
  Subject Codes:

26D15

 
  Editors: George Anastassiou,  
 
  Abstract:

In this paper, using Steffensen's inequality we prove several inequalities involving Taylor's remainder. Among the simplest particular cases we obtain Iyengar's inequality and one of Hermite-Hadamard's inequalities for convex functions.;



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